What is the Greatest Common Factor of 52965 and 52974?

Greatest common factor (GCF) of 52965 and 52974 is 9.

GCF(52965,52974) = 9

We will now calculate the prime factors of 52965 and 52974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52965 and 52974.

How to find the GCF of 52965 and 52974?

We will first find the prime factorization of 52965 and 52974. After we will calculate the factors of 52965 and 52974 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 52974

Prime factors of 52974 are 2, 3, 109. Prime factorization of 52974 in exponential form is:

52974 = 2¹ × 3⁵ × 109¹

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 52974

List of positive integer factors of 52974 that divides 52965 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 109, 162, 218, 243, 327, 486, 654, 981, 1962, 2943, 5886, 8829, 17658, 26487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52965 and 52974. The biggest common factor number is the GCF number.
So the greatest common factor 52965 and 52974 is 9.

Also check out the Least Common Multiple of 52965 and 52974