What is the Greatest Common Factor of 22575 and 22587?

Greatest common factor (GCF) of 22575 and 22587 is 3.

GCF(22575,22587) = 3

We will now calculate the prime factors of 22575 and 22587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22575 and 22587.

How to find the GCF of 22575 and 22587?

We will first find the prime factorization of 22575 and 22587. After we will calculate the factors of 22575 and 22587 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 22587

Prime factors of 22587 are 3, 7529. Prime factorization of 22587 in exponential form is:

22587 = 3¹ × 7529¹

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 22587

List of positive integer factors of 22587 that divides 22575 without a remainder.

1, 3, 7529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22575 and 22587. The biggest common factor number is the GCF number.
So the greatest common factor 22575 and 22587 is 3.

Also check out the Least Common Multiple of 22575 and 22587