What is the Greatest Common Factor of 63936 and 63952?

Greatest common factor (GCF) of 63936 and 63952 is 16.

GCF(63936,63952) = 16

We will now calculate the prime factors of 63936 and 63952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63936 and 63952.

How to find the GCF of 63936 and 63952?

We will first find the prime factorization of 63936 and 63952. After we will calculate the factors of 63936 and 63952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63952

Prime factors of 63952 are 2, 7, 571. Prime factorization of 63952 in exponential form is:

63952 = 2⁴ × 7¹ × 571¹

Step-3: Factors of 63936

List of positive integer factors of 63936 that divides 63936 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

Step-4: Factors of 63952

List of positive integer factors of 63952 that divides 63936 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 571, 1142, 2284, 3997, 4568, 7994, 9136, 15988, 31976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63936 and 63952. The biggest common factor number is the GCF number.
So the greatest common factor 63936 and 63952 is 16.

Also check out the Least Common Multiple of 63936 and 63952