What is the Greatest Common Factor of 27180 and 27196?

Greatest common factor (GCF) of 27180 and 27196 is 4.

GCF(27180,27196) = 4

We will now calculate the prime factors of 27180 and 27196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27180 and 27196.

How to find the GCF of 27180 and 27196?

We will first find the prime factorization of 27180 and 27196. After we will calculate the factors of 27180 and 27196 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27196

Prime factors of 27196 are 2, 13, 523. Prime factorization of 27196 in exponential form is:

27196 = 2² × 13¹ × 523¹

Step-3: Factors of 27180

List of positive integer factors of 27180 that divides 27180 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

Step-4: Factors of 27196

List of positive integer factors of 27196 that divides 27180 without a remainder.

1, 2, 4, 13, 26, 52, 523, 1046, 2092, 6799, 13598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27180 and 27196. The biggest common factor number is the GCF number.
So the greatest common factor 27180 and 27196 is 4.

Also check out the Least Common Multiple of 27180 and 27196