GCF and LCM Calculator Logo

What is the Greatest Common Factor of 27120 and 27136?

Greatest common factor (GCF) of 27120 and 27136 is 16.

GCF(27120,27136) = 16

We will now calculate the prime factors of 27120 and 27136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27120 and 27136.

GCF Calculator and
and

How to find the GCF of 27120 and 27136?

We will first find the prime factorization of 27120 and 27136. After we will calculate the factors of 27120 and 27136 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 27136

Prime factors of 27136 are 2, 53. Prime factorization of 27136 in exponential form is:

27136 = 29 × 531

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 27136

List of positive integer factors of 27136 that divides 27120 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1696, 3392, 6784, 13568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27120 and 27136. The biggest common factor number is the GCF number.
So the greatest common factor 27120 and 27136 is 16.

Also check out the Least Common Multiple of 27120 and 27136