What is the Greatest Common Factor of 51165 and 51180?

Greatest common factor (GCF) of 51165 and 51180 is 15.

GCF(51165,51180) = 15

We will now calculate the prime factors of 51165 and 51180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51165 and 51180.

How to find the GCF of 51165 and 51180?

We will first find the prime factorization of 51165 and 51180. After we will calculate the factors of 51165 and 51180 and find the biggest common factor number .

Step-1: Prime Factorization of 51165

Prime factors of 51165 are 3, 5, 379. Prime factorization of 51165 in exponential form is:

51165 = 3³ × 5¹ × 379¹

Step-2: Prime Factorization of 51180

Prime factors of 51180 are 2, 3, 5, 853. Prime factorization of 51180 in exponential form is:

51180 = 2² × 3¹ × 5¹ × 853¹

Step-3: Factors of 51165

List of positive integer factors of 51165 that divides 51165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 379, 1137, 1895, 3411, 5685, 10233, 17055

Step-4: Factors of 51180

List of positive integer factors of 51180 that divides 51165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 853, 1706, 2559, 3412, 4265, 5118, 8530, 10236, 12795, 17060, 25590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51165 and 51180. The biggest common factor number is the GCF number.
So the greatest common factor 51165 and 51180 is 15.

Also check out the Least Common Multiple of 51165 and 51180