What is the Greatest Common Factor of 53964 and 53976?

Greatest common factor (GCF) of 53964 and 53976 is 12.

GCF(53964,53976) = 12

We will now calculate the prime factors of 53964 and 53976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53964 and 53976.

How to find the GCF of 53964 and 53976?

We will first find the prime factorization of 53964 and 53976. After we will calculate the factors of 53964 and 53976 and find the biggest common factor number .

Step-1: Prime Factorization of 53964

Prime factors of 53964 are 2, 3, 1499. Prime factorization of 53964 in exponential form is:

53964 = 2² × 3² × 1499¹

Step-2: Prime Factorization of 53976

Prime factors of 53976 are 2, 3, 13, 173. Prime factorization of 53976 in exponential form is:

53976 = 2³ × 3¹ × 13¹ × 173¹

Step-3: Factors of 53964

List of positive integer factors of 53964 that divides 53964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1499, 2998, 4497, 5996, 8994, 13491, 17988, 26982

Step-4: Factors of 53976

List of positive integer factors of 53976 that divides 53964 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173, 312, 346, 519, 692, 1038, 1384, 2076, 2249, 4152, 4498, 6747, 8996, 13494, 17992, 26988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53964 and 53976. The biggest common factor number is the GCF number.
So the greatest common factor 53964 and 53976 is 12.

Also check out the Least Common Multiple of 53964 and 53976