What is the Greatest Common Factor of 27237 and 27252?

Greatest common factor (GCF) of 27237 and 27252 is 3.

GCF(27237,27252) = 3

We will now calculate the prime factors of 27237 and 27252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27237 and 27252.

How to find the GCF of 27237 and 27252?

We will first find the prime factorization of 27237 and 27252. After we will calculate the factors of 27237 and 27252 and find the biggest common factor number .

Step-1: Prime Factorization of 27237

Prime factors of 27237 are 3, 7, 1297. Prime factorization of 27237 in exponential form is:

27237 = 3¹ × 7¹ × 1297¹

Step-2: Prime Factorization of 27252

Prime factors of 27252 are 2, 3, 757. Prime factorization of 27252 in exponential form is:

27252 = 2² × 3² × 757¹

Step-3: Factors of 27237

List of positive integer factors of 27237 that divides 27237 without a remainder.

1, 3, 7, 21, 1297, 3891, 9079

Step-4: Factors of 27252

List of positive integer factors of 27252 that divides 27237 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 757, 1514, 2271, 3028, 4542, 6813, 9084, 13626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27237 and 27252. The biggest common factor number is the GCF number.
So the greatest common factor 27237 and 27252 is 3.

Also check out the Least Common Multiple of 27237 and 27252