What is the Greatest Common Factor of 27225 and 27237?

Greatest common factor (GCF) of 27225 and 27237 is 3.

GCF(27225,27237) = 3

We will now calculate the prime factors of 27225 and 27237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27225 and 27237.

How to find the GCF of 27225 and 27237?

We will first find the prime factorization of 27225 and 27237. After we will calculate the factors of 27225 and 27237 and find the biggest common factor number .

Step-1: Prime Factorization of 27225

Prime factors of 27225 are 3, 5, 11. Prime factorization of 27225 in exponential form is:

27225 = 3² × 5² × 11²

Step-2: 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-3: Factors of 27225

List of positive integer factors of 27225 that divides 27225 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 121, 165, 225, 275, 363, 495, 605, 825, 1089, 1815, 2475, 3025, 5445, 9075

Step-4: Factors of 27237

List of positive integer factors of 27237 that divides 27225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27225 and 27237. The biggest common factor number is the GCF number.
So the greatest common factor 27225 and 27237 is 3.

Also check out the Least Common Multiple of 27225 and 27237