What is the Greatest Common Factor of 52724 and 52728?

Greatest common factor (GCF) of 52724 and 52728 is 4.

GCF(52724,52728) = 4

We will now calculate the prime factors of 52724 and 52728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52724 and 52728.

How to find the GCF of 52724 and 52728?

We will first find the prime factorization of 52724 and 52728. After we will calculate the factors of 52724 and 52728 and find the biggest common factor number .

Step-1: Prime Factorization of 52724

Prime factors of 52724 are 2, 7, 269. Prime factorization of 52724 in exponential form is:

52724 = 2² × 7² × 269¹

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 52724

List of positive integer factors of 52724 that divides 52724 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 269, 538, 1076, 1883, 3766, 7532, 13181, 26362

Step-4: Factors of 52728

List of positive integer factors of 52728 that divides 52724 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 52724 and 52728. The biggest common factor number is the GCF number.
So the greatest common factor 52724 and 52728 is 4.

Also check out the Least Common Multiple of 52724 and 52728