What is the Greatest Common Factor of 51664 and 51676?

Greatest common factor (GCF) of 51664 and 51676 is 4.

GCF(51664,51676) = 4

We will now calculate the prime factors of 51664 and 51676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51664 and 51676.

How to find the GCF of 51664 and 51676?

We will first find the prime factorization of 51664 and 51676. After we will calculate the factors of 51664 and 51676 and find the biggest common factor number .

Step-1: Prime Factorization of 51664

Prime factors of 51664 are 2, 3229. Prime factorization of 51664 in exponential form is:

51664 = 2⁴ × 3229¹

Step-2: Prime Factorization of 51676

Prime factors of 51676 are 2, 12919. Prime factorization of 51676 in exponential form is:

51676 = 2² × 12919¹

Step-3: Factors of 51664

List of positive integer factors of 51664 that divides 51664 without a remainder.

1, 2, 4, 8, 16, 3229, 6458, 12916, 25832

Step-4: Factors of 51676

List of positive integer factors of 51676 that divides 51664 without a remainder.

1, 2, 4, 12919, 25838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51664 and 51676. The biggest common factor number is the GCF number.
So the greatest common factor 51664 and 51676 is 4.

Also check out the Least Common Multiple of 51664 and 51676