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What is the Greatest Common Factor of 27120 and 27140?

Greatest common factor (GCF) of 27120 and 27140 is 20.

GCF(27120,27140) = 20

We will now calculate the prime factors of 27120 and 27140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27120 and 27140.

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How to find the GCF of 27120 and 27140?

We will first find the prime factorization of 27120 and 27140. After we will calculate the factors of 27120 and 27140 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 27140

Prime factors of 27140 are 2, 5, 23, 59. Prime factorization of 27140 in exponential form is:

27140 = 22 × 51 × 231 × 591

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 27140

List of positive integer factors of 27140 that divides 27120 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 59, 92, 115, 118, 230, 236, 295, 460, 590, 1180, 1357, 2714, 5428, 6785, 13570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27120 and 27140. The biggest common factor number is the GCF number.
So the greatest common factor 27120 and 27140 is 20.

Also check out the Least Common Multiple of 27120 and 27140