All 50 women and children hostages who were in the original swap agreement have been released, Israeli Prime Minister Benjamin Netanyahu said.

"We are obliged to complete this outline and bring about the release of all our abductees -- women and children and later, everyone -- without exception," he said.

The Israel Defense Forces "is prepared to continue fighting" in the Gaza Strip and is "using the days of the pause as part of the framework to learn, strengthen our readiness and approve future operational plans," according to IDF Chief of Staff Lt. Gen. Herzi Halevi.

"The return of the hostages is a bright light for us all," Halevi said in a statement on Tuesday. "It is also further evidence of the results of significant military pressure and resolute ground operations, which created the conditions for the return of our civilians home."

Halevi vowed "to apply the same strength" if needed in northern Israel, where he said some residents have been evacuated from their homes amid clashes along the border between Israeli forces and Lebanese militant group Hezbollah.

"The IDF's ground operations in Gaza City, a dense and complex area, aim to achieve a worthy and necessary goal," he said. "We know, if required, how to apply the same strength in the north, in order to return you safely to your communities, cities and this beautiful and important region of the country."

-ABC News' Morgan Winsor

About 1.8 million Gaza residents -- over 80% of the population -- are now displaced, according to the United Nations.

Nearly 1.1 million of those displaced residents have sought shelter from the United Nations Relief and Works Agency for Palestine Refugees in the Near East.

But the shelters are so overcrowded that they may have just one toilet for every 125 people and one shower for every 700 people, the U.N. said.

Instead of staying at the shelters, many residents are instead camping at the sites of their destroyed homes, the U.N. said.

A French warship has arrived in Egypt's norther port city of El-Arish, near the border with the war-torn Gaza Strip, to serve as a hospital for wounded Palestinians, a diplomatic source told ABC News on Tuesday.

The Dixmude, the first Western military ship to dock in Egypt, has around 40 hospital beds and two surgical operation rooms. The vessel is expected to remain in El-Arish for about a month, the source said.

The ship carries military medics as well around two dozen civilian pediatricians and surgeons. Patients with permits are expected to leave Gaza for Egypt through the Egyptian-controlled Rafah border crossing, before being transported to the Dixmude for medical treatment, according to the source.

From there, patients should be transferred to Egyptian hospitals for later stages of treatment, the source said, but French officials have not yet reached an agreement with Egyptian authorities on that.

-ABC News' Ayat Al-Tawy and Morgan Winsor

The United States will send three relief flights into Egypt on Tuesday to keep up the flow of humanitarian aid into the war-torn Gaza Strip, which has reached its highest levels as officials take advantage of the current humanitarian pause.

"The movement over the last four or five days of assistance has been so significant in volume that a backfill in El Arish [International Airport in Egypt] is now needed, and these planes are part of that backfill," a senior Biden administration official told reporters during a telephone call on Monday afternoon.

Some 800 trucks carrying aid have crossed into Gaza during the first days of the pause, officials said, which is a huge increase from the days prior. So far, a total of about 2,000 aid trucks have entered Gaza since Oct. 7, meaning that 40% of them had gone in in just the last four days.

The planes on Tuesday will be carrying medical aid urgently needed in Gaza as well as food, particularly for children, and winter clothing as the rainy season begins, according to officials.

The aid will be delivered by the United Nations to civilians.

Two more planeloads are expected to follow in the coming days, officials said. Previously, there were also five commercial flights of aid coordinated by the U.S. government, according to officials.

The officials emphasized this aid as part of U.S. President Joe Biden’s commitment to helping the Palestinian people, saying that he has made sure America is the largest single donor both to the United Nations Relief and Works Agency for Palestine Refugees in the Near East (UNRWA) and to Palestinian territories.

Going forward, the officials said the goals for humanitarian aid in Gaza will be expanding access, pushing for restoration of essential services, especially water, and keeping civilians out of harms way.

"The president has also consistently stressed the importance of ensuring military operations are conducted in a manner consistent with international humanitarian law, including with respect to the protection of civilians," the senior Biden administration official told reporters.

Officials did not offer any new information on the hostage negotiations between Gaza's militant rulers, Hamas, and Israel but reiterated that they hope to see Americans released in the coming days.

-ABC News' Cheyenne Haslett and Morgan Winsor