What is the Greatest Common Factor of 22575 and 22590?

Greatest common factor (GCF) of 22575 and 22590 is 15.

GCF(22575,22590) = 15

We will now calculate the prime factors of 22575 and 22590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22575 and 22590.

How to find the GCF of 22575 and 22590?

We will first find the prime factorization of 22575 and 22590. After we will calculate the factors of 22575 and 22590 and find the biggest common factor number .

Step-1: Prime Factorization of 22575

Prime factors of 22575 are 3, 5, 7, 43. Prime factorization of 22575 in exponential form is:

22575 = 3¹ × 5² × 7¹ × 43¹

Step-2: 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-3: Factors of 22575

List of positive integer factors of 22575 that divides 22575 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 43, 75, 105, 129, 175, 215, 301, 525, 645, 903, 1075, 1505, 3225, 4515, 7525

Step-4: Factors of 22590

List of positive integer factors of 22590 that divides 22575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22575 and 22590. The biggest common factor number is the GCF number.
So the greatest common factor 22575 and 22590 is 15.

Also check out the Least Common Multiple of 22575 and 22590