What is the Greatest Common Factor of 7923 and 7942?

Greatest common factor (GCF) of 7923 and 7942 is 19.

GCF(7923,7942) = 19

We will now calculate the prime factors of 7923 and 7942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7923 and 7942.

How to find the GCF of 7923 and 7942?

We will first find the prime factorization of 7923 and 7942. After we will calculate the factors of 7923 and 7942 and find the biggest common factor number .

Step-1: Prime Factorization of 7923

Prime factors of 7923 are 3, 19, 139. Prime factorization of 7923 in exponential form is:

7923 = 3¹ × 19¹ × 139¹

Step-2: 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-3: Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1, 3, 19, 57, 139, 417, 2641

Step-4: Factors of 7942

List of positive integer factors of 7942 that divides 7923 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7923 and 7942. The biggest common factor number is the GCF number.
So the greatest common factor 7923 and 7942 is 19.

Also check out the Least Common Multiple of 7923 and 7942