What is the Greatest Common Factor of 27005 and 27020?

Greatest common factor (GCF) of 27005 and 27020 is 5.

GCF(27005,27020) = 5

We will now calculate the prime factors of 27005 and 27020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27005 and 27020.

How to find the GCF of 27005 and 27020?

We will first find the prime factorization of 27005 and 27020. After we will calculate the factors of 27005 and 27020 and find the biggest common factor number .

Step-1: Prime Factorization of 27005

Prime factors of 27005 are 5, 11, 491. Prime factorization of 27005 in exponential form is:

27005 = 5¹ × 11¹ × 491¹

Step-2: 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-3: Factors of 27005

List of positive integer factors of 27005 that divides 27005 without a remainder.

1, 5, 11, 55, 491, 2455, 5401

Step-4: Factors of 27020

List of positive integer factors of 27020 that divides 27005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27005 and 27020. The biggest common factor number is the GCF number.
So the greatest common factor 27005 and 27020 is 5.

Also check out the Least Common Multiple of 27005 and 27020