What is the Greatest Common Factor of 52715 and 52728?

Greatest common factor (GCF) of 52715 and 52728 is 13.

GCF(52715,52728) = 13

We will now calculate the prime factors of 52715 and 52728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52715 and 52728.

How to find the GCF of 52715 and 52728?

We will first find the prime factorization of 52715 and 52728. After we will calculate the factors of 52715 and 52728 and find the biggest common factor number .

Step-1: Prime Factorization of 52715

Prime factors of 52715 are 5, 13, 811. Prime factorization of 52715 in exponential form is:

52715 = 5¹ × 13¹ × 811¹

Step-2: Prime Factorization of 52728

Prime factors of 52728 are 2, 3, 13. Prime factorization of 52728 in exponential form is:

52728 = 2³ × 3¹ × 13³

Step-3: Factors of 52715

List of positive integer factors of 52715 that divides 52715 without a remainder.

1, 5, 13, 65, 811, 4055, 10543

Step-4: Factors of 52728

List of positive integer factors of 52728 that divides 52715 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 2197, 4056, 4394, 6591, 8788, 13182, 17576, 26364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52715 and 52728. The biggest common factor number is the GCF number.
So the greatest common factor 52715 and 52728 is 13.

Also check out the Least Common Multiple of 52715 and 52728