What is the Greatest Common Factor of 7888 and 7904?

Greatest common factor (GCF) of 7888 and 7904 is 16.

GCF(7888,7904) = 16

We will now calculate the prime factors of 7888 and 7904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7888 and 7904.

How to find the GCF of 7888 and 7904?

We will first find the prime factorization of 7888 and 7904. After we will calculate the factors of 7888 and 7904 and find the biggest common factor number .

Step-1: Prime Factorization of 7888

Prime factors of 7888 are 2, 17, 29. Prime factorization of 7888 in exponential form is:

7888 = 2⁴ × 17¹ × 29¹

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 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944

Step-4: Factors of 7904

List of positive integer factors of 7904 that divides 7888 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 7888 and 7904. The biggest common factor number is the GCF number.
So the greatest common factor 7888 and 7904 is 16.

Also check out the Least Common Multiple of 7888 and 7904