What is the Greatest Common Factor of 27071 and 27082?

Greatest common factor (GCF) of 27071 and 27082 is 11.

GCF(27071,27082) = 11

We will now calculate the prime factors of 27071 and 27082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27071 and 27082.

How to find the GCF of 27071 and 27082?

We will first find the prime factorization of 27071 and 27082. After we will calculate the factors of 27071 and 27082 and find the biggest common factor number .

Step-1: Prime Factorization of 27071

Prime factors of 27071 are 11, 23, 107. Prime factorization of 27071 in exponential form is:

27071 = 11¹ × 23¹ × 107¹

Step-2: Prime Factorization of 27082

Prime factors of 27082 are 2, 11, 1231. Prime factorization of 27082 in exponential form is:

27082 = 2¹ × 11¹ × 1231¹

Step-3: Factors of 27071

List of positive integer factors of 27071 that divides 27071 without a remainder.

1, 11, 23, 107, 253, 1177, 2461

Step-4: Factors of 27082

List of positive integer factors of 27082 that divides 27071 without a remainder.

1, 2, 11, 22, 1231, 2462, 13541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27071 and 27082. The biggest common factor number is the GCF number.
So the greatest common factor 27071 and 27082 is 11.

Also check out the Least Common Multiple of 27071 and 27082