What is the Greatest Common Factor of 51180 and 51186?

Greatest common factor (GCF) of 51180 and 51186 is 6.

GCF(51180,51186) = 6

We will now calculate the prime factors of 51180 and 51186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51180 and 51186.

How to find the GCF of 51180 and 51186?

We will first find the prime factorization of 51180 and 51186. After we will calculate the factors of 51180 and 51186 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51186

Prime factors of 51186 are 2, 3, 19, 449. Prime factorization of 51186 in exponential form is:

51186 = 2¹ × 3¹ × 19¹ × 449¹

Step-3: Factors of 51180

List of positive integer factors of 51180 that divides 51180 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

Step-4: Factors of 51186

List of positive integer factors of 51186 that divides 51180 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 449, 898, 1347, 2694, 8531, 17062, 25593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51180 and 51186. The biggest common factor number is the GCF number.
So the greatest common factor 51180 and 51186 is 6.

Also check out the Least Common Multiple of 51180 and 51186