What is the Greatest Common Factor of 52965 and 52980?

Greatest common factor (GCF) of 52965 and 52980 is 15.

GCF(52965,52980) = 15

We will now calculate the prime factors of 52965 and 52980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52965 and 52980.

How to find the GCF of 52965 and 52980?

We will first find the prime factorization of 52965 and 52980. After we will calculate the factors of 52965 and 52980 and find the biggest common factor number .

Step-1: Prime Factorization of 52965

Prime factors of 52965 are 3, 5, 11, 107. Prime factorization of 52965 in exponential form is:

52965 = 3² × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 52980

Prime factors of 52980 are 2, 3, 5, 883. Prime factorization of 52980 in exponential form is:

52980 = 2² × 3¹ × 5¹ × 883¹

Step-3: Factors of 52965

List of positive integer factors of 52965 that divides 52965 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 107, 165, 321, 495, 535, 963, 1177, 1605, 3531, 4815, 5885, 10593, 17655

Step-4: Factors of 52980

List of positive integer factors of 52980 that divides 52965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 883, 1766, 2649, 3532, 4415, 5298, 8830, 10596, 13245, 17660, 26490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52965 and 52980. The biggest common factor number is the GCF number.
So the greatest common factor 52965 and 52980 is 15.

Also check out the Least Common Multiple of 52965 and 52980