What is the Greatest Common Factor of 25008 and 25017?

Greatest common factor (GCF) of 25008 and 25017 is 3.

GCF(25008,25017) = 3

We will now calculate the prime factors of 25008 and 25017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25008 and 25017.

How to find the GCF of 25008 and 25017?

We will first find the prime factorization of 25008 and 25017. After we will calculate the factors of 25008 and 25017 and find the biggest common factor number .

Step-1: Prime Factorization of 25008

Prime factors of 25008 are 2, 3, 521. Prime factorization of 25008 in exponential form is:

25008 = 2⁴ × 3¹ × 521¹

Step-2: Prime Factorization of 25017

Prime factors of 25017 are 3, 31, 269. Prime factorization of 25017 in exponential form is:

25017 = 3¹ × 31¹ × 269¹

Step-3: Factors of 25008

List of positive integer factors of 25008 that divides 25008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 521, 1042, 1563, 2084, 3126, 4168, 6252, 8336, 12504

Step-4: Factors of 25017

List of positive integer factors of 25017 that divides 25008 without a remainder.

1, 3, 31, 93, 269, 807, 8339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25008 and 25017. The biggest common factor number is the GCF number.
So the greatest common factor 25008 and 25017 is 3.

Also check out the Least Common Multiple of 25008 and 25017