What is the Greatest Common Factor of 7900 and 7904?

Greatest common factor (GCF) of 7900 and 7904 is 4.

GCF(7900,7904) = 4

We will now calculate the prime factors of 7900 and 7904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7900 and 7904.

How to find the GCF of 7900 and 7904?

We will first find the prime factorization of 7900 and 7904. After we will calculate the factors of 7900 and 7904 and find the biggest common factor number .

Step-1: Prime Factorization of 7900

Prime factors of 7900 are 2, 5, 79. Prime factorization of 7900 in exponential form is:

7900 = 2² × 5² × 79¹

Step-2: 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-3: Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950

Step-4: Factors of 7904

List of positive integer factors of 7904 that divides 7900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7900 and 7904. The biggest common factor number is the GCF number.
So the greatest common factor 7900 and 7904 is 4.

Also check out the Least Common Multiple of 7900 and 7904