What is the Greatest Common Factor of 27120 and 27130?

Greatest common factor (GCF) of 27120 and 27130 is 10.

GCF(27120,27130) = 10

We will now calculate the prime factors of 27120 and 27130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27120 and 27130.

How to find the GCF of 27120 and 27130?

We will first find the prime factorization of 27120 and 27130. After we will calculate the factors of 27120 and 27130 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 27130

Prime factors of 27130 are 2, 5, 2713. Prime factorization of 27130 in exponential form is:

27130 = 2¹ × 5¹ × 2713¹

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 27130

List of positive integer factors of 27130 that divides 27120 without a remainder.

1, 2, 5, 10, 2713, 5426, 13565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27120 and 27130. The biggest common factor number is the GCF number.
So the greatest common factor 27120 and 27130 is 10.

Also check out the Least Common Multiple of 27120 and 27130