What is the Greatest Common Factor of 63924 and 63936?

Greatest common factor (GCF) of 63924 and 63936 is 12.

GCF(63924,63936) = 12

We will now calculate the prime factors of 63924 and 63936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63924 and 63936.

How to find the GCF of 63924 and 63936?

We will first find the prime factorization of 63924 and 63936. After we will calculate the factors of 63924 and 63936 and find the biggest common factor number .

Step-1: Prime Factorization of 63924

Prime factors of 63924 are 2, 3, 7, 761. Prime factorization of 63924 in exponential form is:

63924 = 2² × 3¹ × 7¹ × 761¹

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 63924

List of positive integer factors of 63924 that divides 63924 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 761, 1522, 2283, 3044, 4566, 5327, 9132, 10654, 15981, 21308, 31962

Step-4: Factors of 63936

List of positive integer factors of 63936 that divides 63924 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 63924 and 63936. The biggest common factor number is the GCF number.
So the greatest common factor 63924 and 63936 is 12.

Also check out the Least Common Multiple of 63924 and 63936