What is the Greatest Common Factor of 25904 and 25912?

Greatest common factor (GCF) of 25904 and 25912 is 8.

GCF(25904,25912) = 8

We will now calculate the prime factors of 25904 and 25912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25904 and 25912.

How to find the GCF of 25904 and 25912?

We will first find the prime factorization of 25904 and 25912. After we will calculate the factors of 25904 and 25912 and find the biggest common factor number .

Step-1: Prime Factorization of 25904

Prime factors of 25904 are 2, 1619. Prime factorization of 25904 in exponential form is:

25904 = 2⁴ × 1619¹

Step-2: Prime Factorization of 25912

Prime factors of 25912 are 2, 41, 79. Prime factorization of 25912 in exponential form is:

25912 = 2³ × 41¹ × 79¹

Step-3: Factors of 25904

List of positive integer factors of 25904 that divides 25904 without a remainder.

1, 2, 4, 8, 16, 1619, 3238, 6476, 12952

Step-4: Factors of 25912

List of positive integer factors of 25912 that divides 25904 without a remainder.

1, 2, 4, 8, 41, 79, 82, 158, 164, 316, 328, 632, 3239, 6478, 12956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25904 and 25912. The biggest common factor number is the GCF number.
So the greatest common factor 25904 and 25912 is 8.

Also check out the Least Common Multiple of 25904 and 25912