What is the Greatest Common Factor of 39930 and 39942?

Greatest common factor (GCF) of 39930 and 39942 is 6.

GCF(39930,39942) = 6

We will now calculate the prime factors of 39930 and 39942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39930 and 39942.

How to find the GCF of 39930 and 39942?

We will first find the prime factorization of 39930 and 39942. After we will calculate the factors of 39930 and 39942 and find the biggest common factor number .

Step-1: Prime Factorization of 39930

Prime factors of 39930 are 2, 3, 5, 11. Prime factorization of 39930 in exponential form is:

39930 = 2¹ × 3¹ × 5¹ × 11³

Step-2: 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-3: Factors of 39930

List of positive integer factors of 39930 that divides 39930 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1331, 1815, 2662, 3630, 3993, 6655, 7986, 13310, 19965

Step-4: Factors of 39942

List of positive integer factors of 39942 that divides 39930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39930 and 39942. The biggest common factor number is the GCF number.
So the greatest common factor 39930 and 39942 is 6.

Also check out the Least Common Multiple of 39930 and 39942