What is the Greatest Common Factor of 53616 and 53628?

Greatest common factor (GCF) of 53616 and 53628 is 12.

GCF(53616,53628) = 12

We will now calculate the prime factors of 53616 and 53628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53616 and 53628.

How to find the GCF of 53616 and 53628?

We will first find the prime factorization of 53616 and 53628. After we will calculate the factors of 53616 and 53628 and find the biggest common factor number .

Step-1: Prime Factorization of 53616

Prime factors of 53616 are 2, 3, 1117. Prime factorization of 53616 in exponential form is:

53616 = 2⁴ × 3¹ × 1117¹

Step-2: Prime Factorization of 53628

Prime factors of 53628 are 2, 3, 41, 109. Prime factorization of 53628 in exponential form is:

53628 = 2² × 3¹ × 41¹ × 109¹

Step-3: Factors of 53616

List of positive integer factors of 53616 that divides 53616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1117, 2234, 3351, 4468, 6702, 8936, 13404, 17872, 26808

Step-4: Factors of 53628

List of positive integer factors of 53628 that divides 53616 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 109, 123, 164, 218, 246, 327, 436, 492, 654, 1308, 4469, 8938, 13407, 17876, 26814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53616 and 53628. The biggest common factor number is the GCF number.
So the greatest common factor 53616 and 53628 is 12.

Also check out the Least Common Multiple of 53616 and 53628