What is the Greatest Common Factor of 52638 and 52656?

Greatest common factor (GCF) of 52638 and 52656 is 6.

GCF(52638,52656) = 6

We will now calculate the prime factors of 52638 and 52656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52638 and 52656.

How to find the GCF of 52638 and 52656?

We will first find the prime factorization of 52638 and 52656. After we will calculate the factors of 52638 and 52656 and find the biggest common factor number .

Step-1: Prime Factorization of 52638

Prime factors of 52638 are 2, 3, 31, 283. Prime factorization of 52638 in exponential form is:

52638 = 2¹ × 3¹ × 31¹ × 283¹

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 52638

List of positive integer factors of 52638 that divides 52638 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 283, 566, 849, 1698, 8773, 17546, 26319

Step-4: Factors of 52656

List of positive integer factors of 52656 that divides 52638 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 52638 and 52656. The biggest common factor number is the GCF number.
So the greatest common factor 52638 and 52656 is 6.

Also check out the Least Common Multiple of 52638 and 52656