What is the Greatest Common Factor of 39180 and 39192?

Greatest common factor (GCF) of 39180 and 39192 is 12.

GCF(39180,39192) = 12

We will now calculate the prime factors of 39180 and 39192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39180 and 39192.

How to find the GCF of 39180 and 39192?

We will first find the prime factorization of 39180 and 39192. After we will calculate the factors of 39180 and 39192 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 39192

Prime factors of 39192 are 2, 3, 23, 71. Prime factorization of 39192 in exponential form is:

39192 = 2³ × 3¹ × 23¹ × 71¹

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 39192

List of positive integer factors of 39192 that divides 39180 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 71, 92, 138, 142, 184, 213, 276, 284, 426, 552, 568, 852, 1633, 1704, 3266, 4899, 6532, 9798, 13064, 19596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39180 and 39192. The biggest common factor number is the GCF number.
So the greatest common factor 39180 and 39192 is 12.

Also check out the Least Common Multiple of 39180 and 39192