What is the Greatest Common Factor of 27174 and 27180?

Greatest common factor (GCF) of 27174 and 27180 is 6.

GCF(27174,27180) = 6

We will now calculate the prime factors of 27174 and 27180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27174 and 27180.

How to find the GCF of 27174 and 27180?

We will first find the prime factorization of 27174 and 27180. After we will calculate the factors of 27174 and 27180 and find the biggest common factor number .

Step-1: Prime Factorization of 27174

Prime factors of 27174 are 2, 3, 7, 647. Prime factorization of 27174 in exponential form is:

27174 = 2¹ × 3¹ × 7¹ × 647¹

Step-2: Prime Factorization of 27180

Prime factors of 27180 are 2, 3, 5, 151. Prime factorization of 27180 in exponential form is:

27180 = 2² × 3² × 5¹ × 151¹

Step-3: Factors of 27174

List of positive integer factors of 27174 that divides 27174 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 647, 1294, 1941, 3882, 4529, 9058, 13587

Step-4: Factors of 27180

List of positive integer factors of 27180 that divides 27174 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 151, 180, 302, 453, 604, 755, 906, 1359, 1510, 1812, 2265, 2718, 3020, 4530, 5436, 6795, 9060, 13590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27174 and 27180. The biggest common factor number is the GCF number.
So the greatest common factor 27174 and 27180 is 6.

Also check out the Least Common Multiple of 27174 and 27180