What is the Greatest Common Factor of 25888 and 25908?

Greatest common factor (GCF) of 25888 and 25908 is 4.

GCF(25888,25908) = 4

We will now calculate the prime factors of 25888 and 25908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25888 and 25908.

How to find the GCF of 25888 and 25908?

We will first find the prime factorization of 25888 and 25908. After we will calculate the factors of 25888 and 25908 and find the biggest common factor number .

Step-1: Prime Factorization of 25888

Prime factors of 25888 are 2, 809. Prime factorization of 25888 in exponential form is:

25888 = 2⁵ × 809¹

Step-2: Prime Factorization of 25908

Prime factors of 25908 are 2, 3, 17, 127. Prime factorization of 25908 in exponential form is:

25908 = 2² × 3¹ × 17¹ × 127¹

Step-3: Factors of 25888

List of positive integer factors of 25888 that divides 25888 without a remainder.

1, 2, 4, 8, 16, 32, 809, 1618, 3236, 6472, 12944

Step-4: Factors of 25908

List of positive integer factors of 25908 that divides 25888 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 127, 204, 254, 381, 508, 762, 1524, 2159, 4318, 6477, 8636, 12954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25888 and 25908. The biggest common factor number is the GCF number.
So the greatest common factor 25888 and 25908 is 4.

Also check out the Least Common Multiple of 25888 and 25908