What is the Greatest Common Factor of 7942 and 7961?

Greatest common factor (GCF) of 7942 and 7961 is 19.

GCF(7942,7961) = 19

We will now calculate the prime factors of 7942 and 7961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7942 and 7961.

How to find the GCF of 7942 and 7961?

We will first find the prime factorization of 7942 and 7961. After we will calculate the factors of 7942 and 7961 and find the biggest common factor number .

Step-1: Prime Factorization of 7942

Prime factors of 7942 are 2, 11, 19. Prime factorization of 7942 in exponential form is:

7942 = 2¹ × 11¹ × 19²

Step-2: Prime Factorization of 7961

Prime factors of 7961 are 19, 419. Prime factorization of 7961 in exponential form is:

7961 = 19¹ × 419¹

Step-3: Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971

Step-4: Factors of 7961

List of positive integer factors of 7961 that divides 7942 without a remainder.

1, 19, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7942 and 7961. The biggest common factor number is the GCF number.
So the greatest common factor 7942 and 7961 is 19.

Also check out the Least Common Multiple of 7942 and 7961