What is the Greatest Common Factor of 52664 and 52684?

Greatest common factor (GCF) of 52664 and 52684 is 4.

GCF(52664,52684) = 4

We will now calculate the prime factors of 52664 and 52684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52664 and 52684.

How to find the GCF of 52664 and 52684?

We will first find the prime factorization of 52664 and 52684. After we will calculate the factors of 52664 and 52684 and find the biggest common factor number .

Step-1: Prime Factorization of 52664

Prime factors of 52664 are 2, 29, 227. Prime factorization of 52664 in exponential form is:

52664 = 2³ × 29¹ × 227¹

Step-2: Prime Factorization of 52684

Prime factors of 52684 are 2, 13171. Prime factorization of 52684 in exponential form is:

52684 = 2² × 13171¹

Step-3: Factors of 52664

List of positive integer factors of 52664 that divides 52664 without a remainder.

1, 2, 4, 8, 29, 58, 116, 227, 232, 454, 908, 1816, 6583, 13166, 26332

Step-4: Factors of 52684

List of positive integer factors of 52684 that divides 52664 without a remainder.

1, 2, 4, 13171, 26342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52664 and 52684. The biggest common factor number is the GCF number.
So the greatest common factor 52664 and 52684 is 4.

Also check out the Least Common Multiple of 52664 and 52684