What is the Greatest Common Factor of 22944 and 22960?

Greatest common factor (GCF) of 22944 and 22960 is 16.

GCF(22944,22960) = 16

We will now calculate the prime factors of 22944 and 22960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22944 and 22960.

How to find the GCF of 22944 and 22960?

We will first find the prime factorization of 22944 and 22960. After we will calculate the factors of 22944 and 22960 and find the biggest common factor number .

Step-1: Prime Factorization of 22944

Prime factors of 22944 are 2, 3, 239. Prime factorization of 22944 in exponential form is:

22944 = 2⁵ × 3¹ × 239¹

Step-2: 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-3: Factors of 22944

List of positive integer factors of 22944 that divides 22944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472

Step-4: Factors of 22960

List of positive integer factors of 22960 that divides 22944 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22944 and 22960. The biggest common factor number is the GCF number.
So the greatest common factor 22944 and 22960 is 16.

Also check out the Least Common Multiple of 22944 and 22960