What is the Greatest Common Factor of 15930 and 15942?

Greatest common factor (GCF) of 15930 and 15942 is 6.

GCF(15930,15942) = 6

We will now calculate the prime factors of 15930 and 15942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15930 and 15942.

How to find the GCF of 15930 and 15942?

We will first find the prime factorization of 15930 and 15942. After we will calculate the factors of 15930 and 15942 and find the biggest common factor number .

Step-1: Prime Factorization of 15930

Prime factors of 15930 are 2, 3, 5, 59. Prime factorization of 15930 in exponential form is:

15930 = 2¹ × 3³ × 5¹ × 59¹

Step-2: Prime Factorization of 15942

Prime factors of 15942 are 2, 3, 2657. Prime factorization of 15942 in exponential form is:

15942 = 2¹ × 3¹ × 2657¹

Step-3: Factors of 15930

List of positive integer factors of 15930 that divides 15930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 90, 118, 135, 177, 270, 295, 354, 531, 590, 885, 1062, 1593, 1770, 2655, 3186, 5310, 7965

Step-4: Factors of 15942

List of positive integer factors of 15942 that divides 15930 without a remainder.

1, 2, 3, 6, 2657, 5314, 7971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15930 and 15942. The biggest common factor number is the GCF number.
So the greatest common factor 15930 and 15942 is 6.

Also check out the Least Common Multiple of 15930 and 15942