What is the Greatest Common Factor of 22960 and 22964?

Greatest common factor (GCF) of 22960 and 22964 is 4.

GCF(22960,22964) = 4

We will now calculate the prime factors of 22960 and 22964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22960 and 22964.

How to find the GCF of 22960 and 22964?

We will first find the prime factorization of 22960 and 22964. After we will calculate the factors of 22960 and 22964 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 22964

Prime factors of 22964 are 2, 5741. Prime factorization of 22964 in exponential form is:

22964 = 2² × 5741¹

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 22964

List of positive integer factors of 22964 that divides 22960 without a remainder.

1, 2, 4, 5741, 11482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22960 and 22964. The biggest common factor number is the GCF number.
So the greatest common factor 22960 and 22964 is 4.

Also check out the Least Common Multiple of 22960 and 22964