What is the Greatest Common Factor of 27020 and 27040?

Greatest common factor (GCF) of 27020 and 27040 is 20.

GCF(27020,27040) = 20

We will now calculate the prime factors of 27020 and 27040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27020 and 27040.

How to find the GCF of 27020 and 27040?

We will first find the prime factorization of 27020 and 27040. After we will calculate the factors of 27020 and 27040 and find the biggest common factor number .

Step-1: Prime Factorization of 27020

Prime factors of 27020 are 2, 5, 7, 193. Prime factorization of 27020 in exponential form is:

27020 = 2² × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 27040

Prime factors of 27040 are 2, 5, 13. Prime factorization of 27040 in exponential form is:

27040 = 2⁵ × 5¹ × 13²

Step-3: Factors of 27020

List of positive integer factors of 27020 that divides 27020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965, 1351, 1930, 2702, 3860, 5404, 6755, 13510

Step-4: Factors of 27040

List of positive integer factors of 27040 that divides 27020 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27020 and 27040. The biggest common factor number is the GCF number.
So the greatest common factor 27020 and 27040 is 20.

Also check out the Least Common Multiple of 27020 and 27040