What is the Greatest Common Factor of 63922 and 63936?

Greatest common factor (GCF) of 63922 and 63936 is 2.

GCF(63922,63936) = 2

We will now calculate the prime factors of 63922 and 63936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63922 and 63936.

How to find the GCF of 63922 and 63936?

We will first find the prime factorization of 63922 and 63936. After we will calculate the factors of 63922 and 63936 and find the biggest common factor number .

Step-1: Prime Factorization of 63922

Prime factors of 63922 are 2, 31, 1031. Prime factorization of 63922 in exponential form is:

63922 = 2¹ × 31¹ × 1031¹

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 63922

List of positive integer factors of 63922 that divides 63922 without a remainder.

1, 2, 31, 62, 1031, 2062, 31961

Step-4: Factors of 63936

List of positive integer factors of 63936 that divides 63922 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 63922 and 63936. The biggest common factor number is the GCF number.
So the greatest common factor 63922 and 63936 is 2.

Also check out the Least Common Multiple of 63922 and 63936