What is the Greatest Common Factor of 39942 and 39957?

Greatest common factor (GCF) of 39942 and 39957 is 3.

GCF(39942,39957) = 3

We will now calculate the prime factors of 39942 and 39957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39942 and 39957.

How to find the GCF of 39942 and 39957?

We will first find the prime factorization of 39942 and 39957. After we will calculate the factors of 39942 and 39957 and find the biggest common factor number .

Step-1: Prime Factorization of 39942

Prime factors of 39942 are 2, 3, 7, 317. Prime factorization of 39942 in exponential form is:

39942 = 2¹ × 3² × 7¹ × 317¹

Step-2: Prime Factorization of 39957

Prime factors of 39957 are 3, 19, 701. Prime factorization of 39957 in exponential form is:

39957 = 3¹ × 19¹ × 701¹

Step-3: Factors of 39942

List of positive integer factors of 39942 that divides 39942 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 317, 634, 951, 1902, 2219, 2853, 4438, 5706, 6657, 13314, 19971

Step-4: Factors of 39957

List of positive integer factors of 39957 that divides 39942 without a remainder.

1, 3, 19, 57, 701, 2103, 13319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39942 and 39957. The biggest common factor number is the GCF number.
So the greatest common factor 39942 and 39957 is 3.

Also check out the Least Common Multiple of 39942 and 39957