What is the Greatest Common Factor of 27146 and 27164?

Greatest common factor (GCF) of 27146 and 27164 is 2.

GCF(27146,27164) = 2

We will now calculate the prime factors of 27146 and 27164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27146 and 27164.

How to find the GCF of 27146 and 27164?

We will first find the prime factorization of 27146 and 27164. After we will calculate the factors of 27146 and 27164 and find the biggest common factor number .

Step-1: Prime Factorization of 27146

Prime factors of 27146 are 2, 7, 277. Prime factorization of 27146 in exponential form is:

27146 = 2¹ × 7² × 277¹

Step-2: Prime Factorization of 27164

Prime factors of 27164 are 2, 6791. Prime factorization of 27164 in exponential form is:

27164 = 2² × 6791¹

Step-3: Factors of 27146

List of positive integer factors of 27146 that divides 27146 without a remainder.

1, 2, 7, 14, 49, 98, 277, 554, 1939, 3878, 13573

Step-4: Factors of 27164

List of positive integer factors of 27164 that divides 27146 without a remainder.

1, 2, 4, 6791, 13582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27146 and 27164. The biggest common factor number is the GCF number.
So the greatest common factor 27146 and 27164 is 2.

Also check out the Least Common Multiple of 27146 and 27164