What is the Greatest Common Factor of 52664 and 52678?

Greatest common factor (GCF) of 52664 and 52678 is 2.

GCF(52664,52678) = 2

We will now calculate the prime factors of 52664 and 52678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52664 and 52678.

How to find the GCF of 52664 and 52678?

We will first find the prime factorization of 52664 and 52678. After we will calculate the factors of 52664 and 52678 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 52678

Prime factors of 52678 are 2, 26339. Prime factorization of 52678 in exponential form is:

52678 = 2¹ × 26339¹

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 52678

List of positive integer factors of 52678 that divides 52664 without a remainder.

1, 2, 26339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52664 and 52678. The biggest common factor number is the GCF number.
So the greatest common factor 52664 and 52678 is 2.

Also check out the Least Common Multiple of 52664 and 52678