What is the Greatest Common Factor of 52648 and 52664?

Greatest common factor (GCF) of 52648 and 52664 is 8.

GCF(52648,52664) = 8

We will now calculate the prime factors of 52648 and 52664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52648 and 52664.

How to find the GCF of 52648 and 52664?

We will first find the prime factorization of 52648 and 52664. After we will calculate the factors of 52648 and 52664 and find the biggest common factor number .

Step-1: Prime Factorization of 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 2³ × 6581¹

Step-2: 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-3: Factors of 52648

List of positive integer factors of 52648 that divides 52648 without a remainder.

1, 2, 4, 8, 6581, 13162, 26324

Step-4: Factors of 52664

List of positive integer factors of 52664 that divides 52648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52648 and 52664. The biggest common factor number is the GCF number.
So the greatest common factor 52648 and 52664 is 8.

Also check out the Least Common Multiple of 52648 and 52664