What is the Greatest Common Factor of 52965 and 52975?

Greatest common factor (GCF) of 52965 and 52975 is 5.

GCF(52965,52975) = 5

We will now calculate the prime factors of 52965 and 52975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52965 and 52975.

How to find the GCF of 52965 and 52975?

We will first find the prime factorization of 52965 and 52975. After we will calculate the factors of 52965 and 52975 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 52975

Prime factors of 52975 are 5, 13, 163. Prime factorization of 52975 in exponential form is:

52975 = 5² × 13¹ × 163¹

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 52975

List of positive integer factors of 52975 that divides 52965 without a remainder.

1, 5, 13, 25, 65, 163, 325, 815, 2119, 4075, 10595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52965 and 52975. The biggest common factor number is the GCF number.
So the greatest common factor 52965 and 52975 is 5.

Also check out the Least Common Multiple of 52965 and 52975