What is the Greatest Common Factor of 7904 and 7923?

Greatest common factor (GCF) of 7904 and 7923 is 19.

GCF(7904,7923) = 19

We will now calculate the prime factors of 7904 and 7923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7904 and 7923.

How to find the GCF of 7904 and 7923?

We will first find the prime factorization of 7904 and 7923. After we will calculate the factors of 7904 and 7923 and find the biggest common factor number .

Step-1: Prime Factorization of 7904

Prime factors of 7904 are 2, 13, 19. Prime factorization of 7904 in exponential form is:

7904 = 2⁵ × 13¹ × 19¹

Step-2: 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-3: Factors of 7904

List of positive integer factors of 7904 that divides 7904 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952

Step-4: Factors of 7923

List of positive integer factors of 7923 that divides 7904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7904 and 7923. The biggest common factor number is the GCF number.
So the greatest common factor 7904 and 7923 is 19.

Also check out the Least Common Multiple of 7904 and 7923