What is the Greatest Common Factor of 15931 and 15942?

Greatest common factor (GCF) of 15931 and 15942 is 1.

GCF(15931,15942) = 1

We will now calculate the prime factors of 15931 and 15942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15931 and 15942.

How to find the GCF of 15931 and 15942?

We will first find the prime factorization of 15931 and 15942. After we will calculate the factors of 15931 and 15942 and find the biggest common factor number .

Step-1: Prime Factorization of 15931

Prime factors of 15931 are 89, 179. Prime factorization of 15931 in exponential form is:

15931 = 89¹ × 179¹

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 15931

List of positive integer factors of 15931 that divides 15931 without a remainder.

1, 89, 179

Step-4: Factors of 15942

List of positive integer factors of 15942 that divides 15931 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15931 and 15942. The biggest common factor number is the GCF number.
So the greatest common factor 15931 and 15942 is 1.

Also check out the Least Common Multiple of 15931 and 15942