What is the Greatest Common Factor of 52977 and 52995?

Greatest common factor (GCF) of 52977 and 52995 is 3.

GCF(52977,52995) = 3

We will now calculate the prime factors of 52977 and 52995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52977 and 52995.

How to find the GCF of 52977 and 52995?

We will first find the prime factorization of 52977 and 52995. After we will calculate the factors of 52977 and 52995 and find the biggest common factor number .

Step-1: Prime Factorization of 52977

Prime factors of 52977 are 3, 17659. Prime factorization of 52977 in exponential form is:

52977 = 3¹ × 17659¹

Step-2: Prime Factorization of 52995

Prime factors of 52995 are 3, 5, 3533. Prime factorization of 52995 in exponential form is:

52995 = 3¹ × 5¹ × 3533¹

Step-3: Factors of 52977

List of positive integer factors of 52977 that divides 52977 without a remainder.

1, 3, 17659

Step-4: Factors of 52995

List of positive integer factors of 52995 that divides 52977 without a remainder.

1, 3, 5, 15, 3533, 10599, 17665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52977 and 52995. The biggest common factor number is the GCF number.
So the greatest common factor 52977 and 52995 is 3.

Also check out the Least Common Multiple of 52977 and 52995