What is the Greatest Common Factor of 52965 and 52971?

Greatest common factor (GCF) of 52965 and 52971 is 3.

GCF(52965,52971) = 3

We will now calculate the prime factors of 52965 and 52971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52965 and 52971.

How to find the GCF of 52965 and 52971?

We will first find the prime factorization of 52965 and 52971. After we will calculate the factors of 52965 and 52971 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 52971

Prime factors of 52971 are 3, 17657. Prime factorization of 52971 in exponential form is:

52971 = 3¹ × 17657¹

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 52971

List of positive integer factors of 52971 that divides 52965 without a remainder.

1, 3, 17657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52965 and 52971. The biggest common factor number is the GCF number.
So the greatest common factor 52965 and 52971 is 3.

Also check out the Least Common Multiple of 52965 and 52971