What is the Greatest Common Factor of 39180 and 39186?

Greatest common factor (GCF) of 39180 and 39186 is 6.

GCF(39180,39186) = 6

We will now calculate the prime factors of 39180 and 39186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39180 and 39186.

How to find the GCF of 39180 and 39186?

We will first find the prime factorization of 39180 and 39186. After we will calculate the factors of 39180 and 39186 and find the biggest common factor number .

Step-1: Prime Factorization of 39180

Prime factors of 39180 are 2, 3, 5, 653. Prime factorization of 39180 in exponential form is:

39180 = 2² × 3¹ × 5¹ × 653¹

Step-2: Prime Factorization of 39186

Prime factors of 39186 are 2, 3, 7, 311. Prime factorization of 39186 in exponential form is:

39186 = 2¹ × 3² × 7¹ × 311¹

Step-3: Factors of 39180

List of positive integer factors of 39180 that divides 39180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 653, 1306, 1959, 2612, 3265, 3918, 6530, 7836, 9795, 13060, 19590

Step-4: Factors of 39186

List of positive integer factors of 39186 that divides 39180 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 311, 622, 933, 1866, 2177, 2799, 4354, 5598, 6531, 13062, 19593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39180 and 39186. The biggest common factor number is the GCF number.
So the greatest common factor 39180 and 39186 is 6.

Also check out the Least Common Multiple of 39180 and 39186