What is the Greatest Common Factor of 22566 and 22575?

Greatest common factor (GCF) of 22566 and 22575 is 3.

GCF(22566,22575) = 3

We will now calculate the prime factors of 22566 and 22575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22566 and 22575.

How to find the GCF of 22566 and 22575?

We will first find the prime factorization of 22566 and 22575. After we will calculate the factors of 22566 and 22575 and find the biggest common factor number .

Step-1: Prime Factorization of 22566

Prime factors of 22566 are 2, 3, 3761. Prime factorization of 22566 in exponential form is:

22566 = 2¹ × 3¹ × 3761¹

Step-2: 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-3: Factors of 22566

List of positive integer factors of 22566 that divides 22566 without a remainder.

1, 2, 3, 6, 3761, 7522, 11283

Step-4: Factors of 22575

List of positive integer factors of 22575 that divides 22566 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22566 and 22575. The biggest common factor number is the GCF number.
So the greatest common factor 22566 and 22575 is 3.

Also check out the Least Common Multiple of 22566 and 22575