What is the Greatest Common Factor of 27138 and 27156?

Greatest common factor (GCF) of 27138 and 27156 is 6.

GCF(27138,27156) = 6

We will now calculate the prime factors of 27138 and 27156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27138 and 27156.

How to find the GCF of 27138 and 27156?

We will first find the prime factorization of 27138 and 27156. After we will calculate the factors of 27138 and 27156 and find the biggest common factor number .

Step-1: Prime Factorization of 27138

Prime factors of 27138 are 2, 3, 4523. Prime factorization of 27138 in exponential form is:

27138 = 2¹ × 3¹ × 4523¹

Step-2: Prime Factorization of 27156

Prime factors of 27156 are 2, 3, 31, 73. Prime factorization of 27156 in exponential form is:

27156 = 2² × 3¹ × 31¹ × 73¹

Step-3: Factors of 27138

List of positive integer factors of 27138 that divides 27138 without a remainder.

1, 2, 3, 6, 4523, 9046, 13569

Step-4: Factors of 27156

List of positive integer factors of 27156 that divides 27138 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 73, 93, 124, 146, 186, 219, 292, 372, 438, 876, 2263, 4526, 6789, 9052, 13578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27138 and 27156. The biggest common factor number is the GCF number.
So the greatest common factor 27138 and 27156 is 6.

Also check out the Least Common Multiple of 27138 and 27156