What is the Greatest Common Factor of 52572 and 52588?

Greatest common factor (GCF) of 52572 and 52588 is 4.

GCF(52572,52588) = 4

We will now calculate the prime factors of 52572 and 52588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52572 and 52588.

How to find the GCF of 52572 and 52588?

We will first find the prime factorization of 52572 and 52588. After we will calculate the factors of 52572 and 52588 and find the biggest common factor number .

Step-1: Prime Factorization of 52572

Prime factors of 52572 are 2, 3, 13, 337. Prime factorization of 52572 in exponential form is:

52572 = 2² × 3¹ × 13¹ × 337¹

Step-2: Prime Factorization of 52588

Prime factors of 52588 are 2, 13147. Prime factorization of 52588 in exponential form is:

52588 = 2² × 13147¹

Step-3: Factors of 52572

List of positive integer factors of 52572 that divides 52572 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 337, 674, 1011, 1348, 2022, 4044, 4381, 8762, 13143, 17524, 26286

Step-4: Factors of 52588

List of positive integer factors of 52588 that divides 52572 without a remainder.

1, 2, 4, 13147, 26294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52572 and 52588. The biggest common factor number is the GCF number.
So the greatest common factor 52572 and 52588 is 4.

Also check out the Least Common Multiple of 52572 and 52588