What is the Greatest Common Factor of 22960 and 22975?

Greatest common factor (GCF) of 22960 and 22975 is 5.

GCF(22960,22975) = 5

We will now calculate the prime factors of 22960 and 22975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22960 and 22975.

How to find the GCF of 22960 and 22975?

We will first find the prime factorization of 22960 and 22975. After we will calculate the factors of 22960 and 22975 and find the biggest common factor number .

Step-1: Prime Factorization of 22960

Prime factors of 22960 are 2, 5, 7, 41. Prime factorization of 22960 in exponential form is:

22960 = 2⁴ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 22975

Prime factors of 22975 are 5, 919. Prime factorization of 22975 in exponential form is:

22975 = 5² × 919¹

Step-3: Factors of 22960

List of positive integer factors of 22960 that divides 22960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 41, 56, 70, 80, 82, 112, 140, 164, 205, 280, 287, 328, 410, 560, 574, 656, 820, 1148, 1435, 1640, 2296, 2870, 3280, 4592, 5740, 11480

Step-4: Factors of 22975

List of positive integer factors of 22975 that divides 22960 without a remainder.

1, 5, 25, 919, 4595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22960 and 22975. The biggest common factor number is the GCF number.
So the greatest common factor 22960 and 22975 is 5.

Also check out the Least Common Multiple of 22960 and 22975