What is the Greatest Common Factor of 51564 and 51579?

Greatest common factor (GCF) of 51564 and 51579 is 3.

GCF(51564,51579) = 3

We will now calculate the prime factors of 51564 and 51579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51564 and 51579.

How to find the GCF of 51564 and 51579?

We will first find the prime factorization of 51564 and 51579. After we will calculate the factors of 51564 and 51579 and find the biggest common factor number .

Step-1: Prime Factorization of 51564

Prime factors of 51564 are 2, 3, 4297. Prime factorization of 51564 in exponential form is:

51564 = 2² × 3¹ × 4297¹

Step-2: Prime Factorization of 51579

Prime factors of 51579 are 3, 11, 521. Prime factorization of 51579 in exponential form is:

51579 = 3² × 11¹ × 521¹

Step-3: Factors of 51564

List of positive integer factors of 51564 that divides 51564 without a remainder.

1, 2, 3, 4, 6, 12, 4297, 8594, 12891, 17188, 25782

Step-4: Factors of 51579

List of positive integer factors of 51579 that divides 51564 without a remainder.

1, 3, 9, 11, 33, 99, 521, 1563, 4689, 5731, 17193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51564 and 51579. The biggest common factor number is the GCF number.
So the greatest common factor 51564 and 51579 is 3.

Also check out the Least Common Multiple of 51564 and 51579