What is the Greatest Common Factor of 63928 and 63936?

Greatest common factor (GCF) of 63928 and 63936 is 8.

GCF(63928,63936) = 8

We will now calculate the prime factors of 63928 and 63936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63928 and 63936.

How to find the GCF of 63928 and 63936?

We will first find the prime factorization of 63928 and 63936. After we will calculate the factors of 63928 and 63936 and find the biggest common factor number .

Step-1: Prime Factorization of 63928

Prime factors of 63928 are 2, 61, 131. Prime factorization of 63928 in exponential form is:

63928 = 2³ × 61¹ × 131¹

Step-2: Prime Factorization of 63936

Prime factors of 63936 are 2, 3, 37. Prime factorization of 63936 in exponential form is:

63936 = 2⁶ × 3³ × 37¹

Step-3: Factors of 63928

List of positive integer factors of 63928 that divides 63928 without a remainder.

1, 2, 4, 8, 61, 122, 131, 244, 262, 488, 524, 1048, 7991, 15982, 31964

Step-4: Factors of 63936

List of positive integer factors of 63936 that divides 63928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 37, 48, 54, 64, 72, 74, 96, 108, 111, 144, 148, 192, 216, 222, 288, 296, 333, 432, 444, 576, 592, 666, 864, 888, 999, 1184, 1332, 1728, 1776, 1998, 2368, 2664, 3552, 3996, 5328, 7104, 7992, 10656, 15984, 21312, 31968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63928 and 63936. The biggest common factor number is the GCF number.
So the greatest common factor 63928 and 63936 is 8.

Also check out the Least Common Multiple of 63928 and 63936