What is the Greatest Common Factor of 63872 and 63877?

Greatest common factor (GCF) of 63872 and 63877 is 1.

GCF(63872,63877) = 1

We will now calculate the prime factors of 63872 and 63877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63872 and 63877.

How to find the GCF of 63872 and 63877?

We will first find the prime factorization of 63872 and 63877. After we will calculate the factors of 63872 and 63877 and find the biggest common factor number .

Step-1: Prime Factorization of 63872

Prime factors of 63872 are 2, 499. Prime factorization of 63872 in exponential form is:

63872 = 2⁷ × 499¹

Step-2: Prime Factorization of 63877

Prime factors of 63877 are 11, 5807. Prime factorization of 63877 in exponential form is:

63877 = 11¹ × 5807¹

Step-3: Factors of 63872

List of positive integer factors of 63872 that divides 63872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 499, 998, 1996, 3992, 7984, 15968, 31936

Step-4: Factors of 63877

List of positive integer factors of 63877 that divides 63872 without a remainder.

1, 11, 5807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63872 and 63877. The biggest common factor number is the GCF number.
So the greatest common factor 63872 and 63877 is 1.

Also check out the Least Common Multiple of 63872 and 63877