What is the Greatest Common Factor of 25904 and 25916?

Greatest common factor (GCF) of 25904 and 25916 is 4.

GCF(25904,25916) = 4

We will now calculate the prime factors of 25904 and 25916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25904 and 25916.

How to find the GCF of 25904 and 25916?

We will first find the prime factorization of 25904 and 25916. After we will calculate the factors of 25904 and 25916 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 25916

Prime factors of 25916 are 2, 11, 19, 31. Prime factorization of 25916 in exponential form is:

25916 = 2² × 11¹ × 19¹ × 31¹

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 25916

List of positive integer factors of 25916 that divides 25904 without a remainder.

1, 2, 4, 11, 19, 22, 31, 38, 44, 62, 76, 124, 209, 341, 418, 589, 682, 836, 1178, 1364, 2356, 6479, 12958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25904 and 25916. The biggest common factor number is the GCF number.
So the greatest common factor 25904 and 25916 is 4.

Also check out the Least Common Multiple of 25904 and 25916