What is the Greatest Common Factor of 27162 and 27177?

Greatest common factor (GCF) of 27162 and 27177 is 3.

GCF(27162,27177) = 3

We will now calculate the prime factors of 27162 and 27177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27162 and 27177.

How to find the GCF of 27162 and 27177?

We will first find the prime factorization of 27162 and 27177. After we will calculate the factors of 27162 and 27177 and find the biggest common factor number .

Step-1: Prime Factorization of 27162

Prime factors of 27162 are 2, 3, 503. Prime factorization of 27162 in exponential form is:

27162 = 2¹ × 3³ × 503¹

Step-2: Prime Factorization of 27177

Prime factors of 27177 are 3, 9059. Prime factorization of 27177 in exponential form is:

27177 = 3¹ × 9059¹

Step-3: Factors of 27162

List of positive integer factors of 27162 that divides 27162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 503, 1006, 1509, 3018, 4527, 9054, 13581

Step-4: Factors of 27177

List of positive integer factors of 27177 that divides 27162 without a remainder.

1, 3, 9059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27162 and 27177. The biggest common factor number is the GCF number.
So the greatest common factor 27162 and 27177 is 3.

Also check out the Least Common Multiple of 27162 and 27177