What is the Greatest Common Factor of 52637 and 52650?

Greatest common factor (GCF) of 52637 and 52650 is 13.

GCF(52637,52650) = 13

We will now calculate the prime factors of 52637 and 52650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52637 and 52650.

How to find the GCF of 52637 and 52650?

We will first find the prime factorization of 52637 and 52650. After we will calculate the factors of 52637 and 52650 and find the biggest common factor number .

Step-1: Prime Factorization of 52637

Prime factors of 52637 are 13, 4049. Prime factorization of 52637 in exponential form is:

52637 = 13¹ × 4049¹

Step-2: Prime Factorization of 52650

Prime factors of 52650 are 2, 3, 5, 13. Prime factorization of 52650 in exponential form is:

52650 = 2¹ × 3⁴ × 5² × 13¹

Step-3: Factors of 52637

List of positive integer factors of 52637 that divides 52637 without a remainder.

1, 13, 4049

Step-4: Factors of 52650

List of positive integer factors of 52650 that divides 52637 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 81, 90, 117, 130, 135, 150, 162, 195, 225, 234, 270, 325, 351, 390, 405, 450, 585, 650, 675, 702, 810, 975, 1053, 1170, 1350, 1755, 1950, 2025, 2106, 2925, 3510, 4050, 5265, 5850, 8775, 10530, 17550, 26325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52637 and 52650. The biggest common factor number is the GCF number.
So the greatest common factor 52637 and 52650 is 13.

Also check out the Least Common Multiple of 52637 and 52650