What is the Greatest Common Factor of 22608 and 22625?

Greatest common factor (GCF) of 22608 and 22625 is 1.

GCF(22608,22625) = 1

We will now calculate the prime factors of 22608 and 22625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22608 and 22625.

How to find the GCF of 22608 and 22625?

We will first find the prime factorization of 22608 and 22625. After we will calculate the factors of 22608 and 22625 and find the biggest common factor number .

Step-1: Prime Factorization of 22608

Prime factors of 22608 are 2, 3, 157. Prime factorization of 22608 in exponential form is:

22608 = 2⁴ × 3² × 157¹

Step-2: Prime Factorization of 22625

Prime factors of 22625 are 5, 181. Prime factorization of 22625 in exponential form is:

22625 = 5³ × 181¹

Step-3: Factors of 22608

List of positive integer factors of 22608 that divides 22608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 157, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5652, 7536, 11304

Step-4: Factors of 22625

List of positive integer factors of 22625 that divides 22608 without a remainder.

1, 5, 25, 125, 181, 905, 4525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22608 and 22625. The biggest common factor number is the GCF number.
So the greatest common factor 22608 and 22625 is 1.

Also check out the Least Common Multiple of 22608 and 22625