What is the Greatest Common Factor of 27120 and 27138?

Greatest common factor (GCF) of 27120 and 27138 is 6.

GCF(27120,27138) = 6

We will now calculate the prime factors of 27120 and 27138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27120 and 27138.

How to find the GCF of 27120 and 27138?

We will first find the prime factorization of 27120 and 27138. After we will calculate the factors of 27120 and 27138 and find the biggest common factor number .

Step-1: Prime Factorization of 27120

Prime factors of 27120 are 2, 3, 5, 113. Prime factorization of 27120 in exponential form is:

27120 = 2⁴ × 3¹ × 5¹ × 113¹

Step-2: 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-3: Factors of 27120

List of positive integer factors of 27120 that divides 27120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 113, 120, 226, 240, 339, 452, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 4520, 5424, 6780, 9040, 13560

Step-4: Factors of 27138

List of positive integer factors of 27138 that divides 27120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27120 and 27138. The biggest common factor number is the GCF number.
So the greatest common factor 27120 and 27138 is 6.

Also check out the Least Common Multiple of 27120 and 27138