What is the Greatest Common Factor of 53628 and 53646?

Greatest common factor (GCF) of 53628 and 53646 is 6.

GCF(53628,53646) = 6

We will now calculate the prime factors of 53628 and 53646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53628 and 53646.

How to find the GCF of 53628 and 53646?

We will first find the prime factorization of 53628 and 53646. After we will calculate the factors of 53628 and 53646 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53646

Prime factors of 53646 are 2, 3, 8941. Prime factorization of 53646 in exponential form is:

53646 = 2¹ × 3¹ × 8941¹

Step-3: Factors of 53628

List of positive integer factors of 53628 that divides 53628 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

Step-4: Factors of 53646

List of positive integer factors of 53646 that divides 53628 without a remainder.

1, 2, 3, 6, 8941, 17882, 26823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53628 and 53646. The biggest common factor number is the GCF number.
So the greatest common factor 53628 and 53646 is 6.

Also check out the Least Common Multiple of 53628 and 53646