What is the Greatest Common Factor of 52644 and 52656?

Greatest common factor (GCF) of 52644 and 52656 is 12.

GCF(52644,52656) = 12

We will now calculate the prime factors of 52644 and 52656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52644 and 52656.

How to find the GCF of 52644 and 52656?

We will first find the prime factorization of 52644 and 52656. After we will calculate the factors of 52644 and 52656 and find the biggest common factor number .

Step-1: Prime Factorization of 52644

Prime factors of 52644 are 2, 3, 41, 107. Prime factorization of 52644 in exponential form is:

52644 = 2² × 3¹ × 41¹ × 107¹

Step-2: Prime Factorization of 52656

Prime factors of 52656 are 2, 3, 1097. Prime factorization of 52656 in exponential form is:

52656 = 2⁴ × 3¹ × 1097¹

Step-3: Factors of 52644

List of positive integer factors of 52644 that divides 52644 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 107, 123, 164, 214, 246, 321, 428, 492, 642, 1284, 4387, 8774, 13161, 17548, 26322

Step-4: Factors of 52656

List of positive integer factors of 52656 that divides 52644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1097, 2194, 3291, 4388, 6582, 8776, 13164, 17552, 26328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52644 and 52656. The biggest common factor number is the GCF number.
So the greatest common factor 52644 and 52656 is 12.

Also check out the Least Common Multiple of 52644 and 52656