What is the Greatest Common Factor of 27149 and 27157?

Greatest common factor (GCF) of 27149 and 27157 is 1.

GCF(27149,27157) = 1

We will now calculate the prime factors of 27149 and 27157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27149 and 27157.

How to find the GCF of 27149 and 27157?

We will first find the prime factorization of 27149 and 27157. After we will calculate the factors of 27149 and 27157 and find the biggest common factor number .

Step-1: Prime Factorization of 27149

Prime factors of 27149 are 17, 1597. Prime factorization of 27149 in exponential form is:

27149 = 17¹ × 1597¹

Step-2: Prime Factorization of 27157

Prime factors of 27157 are 13, 2089. Prime factorization of 27157 in exponential form is:

27157 = 13¹ × 2089¹

Step-3: Factors of 27149

List of positive integer factors of 27149 that divides 27149 without a remainder.

1, 17, 1597

Step-4: Factors of 27157

List of positive integer factors of 27157 that divides 27149 without a remainder.

1, 13, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27149 and 27157. The biggest common factor number is the GCF number.
So the greatest common factor 27149 and 27157 is 1.

Also check out the Least Common Multiple of 27149 and 27157