What is the Greatest Common Factor of 53676 and 53688?

Greatest common factor (GCF) of 53676 and 53688 is 12.

GCF(53676,53688) = 12

We will now calculate the prime factors of 53676 and 53688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53676 and 53688.

How to find the GCF of 53676 and 53688?

We will first find the prime factorization of 53676 and 53688. After we will calculate the factors of 53676 and 53688 and find the biggest common factor number .

Step-1: Prime Factorization of 53676

Prime factors of 53676 are 2, 3, 7, 71. Prime factorization of 53676 in exponential form is:

53676 = 2² × 3³ × 7¹ × 71¹

Step-2: Prime Factorization of 53688

Prime factors of 53688 are 2, 3, 2237. Prime factorization of 53688 in exponential form is:

53688 = 2³ × 3¹ × 2237¹

Step-3: Factors of 53676

List of positive integer factors of 53676 that divides 53676 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 71, 84, 108, 126, 142, 189, 213, 252, 284, 378, 426, 497, 639, 756, 852, 994, 1278, 1491, 1917, 1988, 2556, 2982, 3834, 4473, 5964, 7668, 8946, 13419, 17892, 26838

Step-4: Factors of 53688

List of positive integer factors of 53688 that divides 53676 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2237, 4474, 6711, 8948, 13422, 17896, 26844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53676 and 53688. The biggest common factor number is the GCF number.
So the greatest common factor 53676 and 53688 is 12.

Also check out the Least Common Multiple of 53676 and 53688