What is the Greatest Common Factor of 52712 and 52724?

Greatest common factor (GCF) of 52712 and 52724 is 4.

GCF(52712,52724) = 4

We will now calculate the prime factors of 52712 and 52724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52712 and 52724.

How to find the GCF of 52712 and 52724?

We will first find the prime factorization of 52712 and 52724. After we will calculate the factors of 52712 and 52724 and find the biggest common factor number .

Step-1: Prime Factorization of 52712

Prime factors of 52712 are 2, 11, 599. Prime factorization of 52712 in exponential form is:

52712 = 2³ × 11¹ × 599¹

Step-2: 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-3: Factors of 52712

List of positive integer factors of 52712 that divides 52712 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 599, 1198, 2396, 4792, 6589, 13178, 26356

Step-4: Factors of 52724

List of positive integer factors of 52724 that divides 52712 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52712 and 52724. The biggest common factor number is the GCF number.
So the greatest common factor 52712 and 52724 is 4.

Also check out the Least Common Multiple of 52712 and 52724