What is the Greatest Common Factor of 39186 and 39204?

Greatest common factor (GCF) of 39186 and 39204 is 18.

GCF(39186,39204) = 18

We will now calculate the prime factors of 39186 and 39204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39186 and 39204.

How to find the GCF of 39186 and 39204?

We will first find the prime factorization of 39186 and 39204. After we will calculate the factors of 39186 and 39204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39204

Prime factors of 39204 are 2, 3, 11. Prime factorization of 39204 in exponential form is:

39204 = 2² × 3⁴ × 11²

Step-3: Factors of 39186

List of positive integer factors of 39186 that divides 39186 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

Step-4: Factors of 39204

List of positive integer factors of 39204 that divides 39186 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 121, 132, 162, 198, 242, 297, 324, 363, 396, 484, 594, 726, 891, 1089, 1188, 1452, 1782, 2178, 3267, 3564, 4356, 6534, 9801, 13068, 19602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39186 and 39204. The biggest common factor number is the GCF number.
So the greatest common factor 39186 and 39204 is 18.

Also check out the Least Common Multiple of 39186 and 39204