What is the Greatest Common Factor of 27162 and 27171?

Greatest common factor (GCF) of 27162 and 27171 is 9.

GCF(27162,27171) = 9

We will now calculate the prime factors of 27162 and 27171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27162 and 27171.

How to find the GCF of 27162 and 27171?

We will first find the prime factorization of 27162 and 27171. After we will calculate the factors of 27162 and 27171 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 27171

Prime factors of 27171 are 3, 3019. Prime factorization of 27171 in exponential form is:

27171 = 3² × 3019¹

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 27171

List of positive integer factors of 27171 that divides 27162 without a remainder.

1, 3, 9, 3019, 9057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27162 and 27171. The biggest common factor number is the GCF number.
So the greatest common factor 27162 and 27171 is 9.

Also check out the Least Common Multiple of 27162 and 27171