What is the Greatest Common Factor of 7885 and 7904?

Greatest common factor (GCF) of 7885 and 7904 is 19.

GCF(7885,7904) = 19

We will now calculate the prime factors of 7885 and 7904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7885 and 7904.

How to find the GCF of 7885 and 7904?

We will first find the prime factorization of 7885 and 7904. After we will calculate the factors of 7885 and 7904 and find the biggest common factor number .

Step-1: Prime Factorization of 7885

Prime factors of 7885 are 5, 19, 83. Prime factorization of 7885 in exponential form is:

7885 = 5¹ × 19¹ × 83¹

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 7885

List of positive integer factors of 7885 that divides 7885 without a remainder.

1, 5, 19, 83, 95, 415, 1577

Step-4: Factors of 7904

List of positive integer factors of 7904 that divides 7885 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 7885 and 7904. The biggest common factor number is the GCF number.
So the greatest common factor 7885 and 7904 is 19.

Also check out the Least Common Multiple of 7885 and 7904