What is the Greatest Common Factor of 22590 and 22608?

Greatest common factor (GCF) of 22590 and 22608 is 18.

GCF(22590,22608) = 18

We will now calculate the prime factors of 22590 and 22608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22590 and 22608.

How to find the GCF of 22590 and 22608?

We will first find the prime factorization of 22590 and 22608. After we will calculate the factors of 22590 and 22608 and find the biggest common factor number .

Step-1: Prime Factorization of 22590

Prime factors of 22590 are 2, 3, 5, 251. Prime factorization of 22590 in exponential form is:

22590 = 2¹ × 3² × 5¹ × 251¹

Step-2: 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-3: Factors of 22590

List of positive integer factors of 22590 that divides 22590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 251, 502, 753, 1255, 1506, 2259, 2510, 3765, 4518, 7530, 11295

Step-4: Factors of 22608

List of positive integer factors of 22608 that divides 22590 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22590 and 22608. The biggest common factor number is the GCF number.
So the greatest common factor 22590 and 22608 is 18.

Also check out the Least Common Multiple of 22590 and 22608