What is the Greatest Common Factor of 27156 and 27173?

Greatest common factor (GCF) of 27156 and 27173 is 1.

GCF(27156,27173) = 1

We will now calculate the prime factors of 27156 and 27173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27156 and 27173.

How to find the GCF of 27156 and 27173?

We will first find the prime factorization of 27156 and 27173. After we will calculate the factors of 27156 and 27173 and find the biggest common factor number .

Step-1: Prime Factorization of 27156

Prime factors of 27156 are 2, 3, 31, 73. Prime factorization of 27156 in exponential form is:

27156 = 2² × 3¹ × 31¹ × 73¹

Step-2: Prime Factorization of 27173

Prime factors of 27173 are 29, 937. Prime factorization of 27173 in exponential form is:

27173 = 29¹ × 937¹

Step-3: Factors of 27156

List of positive integer factors of 27156 that divides 27156 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 73, 93, 124, 146, 186, 219, 292, 372, 438, 876, 2263, 4526, 6789, 9052, 13578

Step-4: Factors of 27173

List of positive integer factors of 27173 that divides 27156 without a remainder.

1, 29, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27156 and 27173. The biggest common factor number is the GCF number.
So the greatest common factor 27156 and 27173 is 1.

Also check out the Least Common Multiple of 27156 and 27173