What is the Greatest Common Factor of 52635 and 52650?

Greatest common factor (GCF) of 52635 and 52650 is 15.

GCF(52635,52650) = 15

We will now calculate the prime factors of 52635 and 52650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52635 and 52650.

How to find the GCF of 52635 and 52650?

We will first find the prime factorization of 52635 and 52650. After we will calculate the factors of 52635 and 52650 and find the biggest common factor number .

Step-1: Prime Factorization of 52635

Prime factors of 52635 are 3, 5, 11, 29. Prime factorization of 52635 in exponential form is:

52635 = 3¹ × 5¹ × 11² × 29¹

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 52635

List of positive integer factors of 52635 that divides 52635 without a remainder.

1, 3, 5, 11, 15, 29, 33, 55, 87, 121, 145, 165, 319, 363, 435, 605, 957, 1595, 1815, 3509, 4785, 10527, 17545

Step-4: Factors of 52650

List of positive integer factors of 52650 that divides 52635 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 52635 and 52650. The biggest common factor number is the GCF number.
So the greatest common factor 52635 and 52650 is 15.

Also check out the Least Common Multiple of 52635 and 52650