What is the Greatest Common Factor of 27020 and 27038?

Greatest common factor (GCF) of 27020 and 27038 is 2.

GCF(27020,27038) = 2

We will now calculate the prime factors of 27020 and 27038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27020 and 27038.

How to find the GCF of 27020 and 27038?

We will first find the prime factorization of 27020 and 27038. After we will calculate the factors of 27020 and 27038 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 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 2¹ × 11¹ × 1229¹

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 27038

List of positive integer factors of 27038 that divides 27020 without a remainder.

1, 2, 11, 22, 1229, 2458, 13519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27020 and 27038. The biggest common factor number is the GCF number.
So the greatest common factor 27020 and 27038 is 2.

Also check out the Least Common Multiple of 27020 and 27038