What is the Greatest Common Factor of 25908 and 25917?

Greatest common factor (GCF) of 25908 and 25917 is 3.

GCF(25908,25917) = 3

We will now calculate the prime factors of 25908 and 25917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25908 and 25917.

How to find the GCF of 25908 and 25917?

We will first find the prime factorization of 25908 and 25917. After we will calculate the factors of 25908 and 25917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25917

Prime factors of 25917 are 3, 53, 163. Prime factorization of 25917 in exponential form is:

25917 = 3¹ × 53¹ × 163¹

Step-3: Factors of 25908

List of positive integer factors of 25908 that divides 25908 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

Step-4: Factors of 25917

List of positive integer factors of 25917 that divides 25908 without a remainder.

1, 3, 53, 159, 163, 489, 8639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25908 and 25917. The biggest common factor number is the GCF number.
So the greatest common factor 25908 and 25917 is 3.

Also check out the Least Common Multiple of 25908 and 25917