What is the Greatest Common Factor of 52572 and 52585?

Greatest common factor (GCF) of 52572 and 52585 is 13.

GCF(52572,52585) = 13

We will now calculate the prime factors of 52572 and 52585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52572 and 52585.

How to find the GCF of 52572 and 52585?

We will first find the prime factorization of 52572 and 52585. After we will calculate the factors of 52572 and 52585 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 52585

Prime factors of 52585 are 5, 13, 809. Prime factorization of 52585 in exponential form is:

52585 = 5¹ × 13¹ × 809¹

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 52585

List of positive integer factors of 52585 that divides 52572 without a remainder.

1, 5, 13, 65, 809, 4045, 10517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52572 and 52585. The biggest common factor number is the GCF number.
So the greatest common factor 52572 and 52585 is 13.

Also check out the Least Common Multiple of 52572 and 52585