What is the Greatest Common Factor of 22575 and 22584?

Greatest common factor (GCF) of 22575 and 22584 is 3.

GCF(22575,22584) = 3

We will now calculate the prime factors of 22575 and 22584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22575 and 22584.

How to find the GCF of 22575 and 22584?

We will first find the prime factorization of 22575 and 22584. After we will calculate the factors of 22575 and 22584 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 22584

Prime factors of 22584 are 2, 3, 941. Prime factorization of 22584 in exponential form is:

22584 = 2³ × 3¹ × 941¹

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 22584

List of positive integer factors of 22584 that divides 22575 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 941, 1882, 2823, 3764, 5646, 7528, 11292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22575 and 22584. The biggest common factor number is the GCF number.
So the greatest common factor 22575 and 22584 is 3.

Also check out the Least Common Multiple of 22575 and 22584