What is the Greatest Common Factor of 63856 and 63872?

Greatest common factor (GCF) of 63856 and 63872 is 16.

GCF(63856,63872) = 16

We will now calculate the prime factors of 63856 and 63872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63856 and 63872.

How to find the GCF of 63856 and 63872?

We will first find the prime factorization of 63856 and 63872. After we will calculate the factors of 63856 and 63872 and find the biggest common factor number .

Step-1: Prime Factorization of 63856

Prime factors of 63856 are 2, 13, 307. Prime factorization of 63856 in exponential form is:

63856 = 2⁴ × 13¹ × 307¹

Step-2: Prime Factorization of 63872

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

63872 = 2⁷ × 499¹

Step-3: Factors of 63856

List of positive integer factors of 63856 that divides 63856 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 307, 614, 1228, 2456, 3991, 4912, 7982, 15964, 31928

Step-4: Factors of 63872

List of positive integer factors of 63872 that divides 63856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63856 and 63872. The biggest common factor number is the GCF number.
So the greatest common factor 63856 and 63872 is 16.

Also check out the Least Common Multiple of 63856 and 63872