What is the Greatest Common Factor of 22946 and 22960?

Greatest common factor (GCF) of 22946 and 22960 is 14.

GCF(22946,22960) = 14

We will now calculate the prime factors of 22946 and 22960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22946 and 22960.

How to find the GCF of 22946 and 22960?

We will first find the prime factorization of 22946 and 22960. After we will calculate the factors of 22946 and 22960 and find the biggest common factor number .

Step-1: Prime Factorization of 22946

Prime factors of 22946 are 2, 7, 11, 149. Prime factorization of 22946 in exponential form is:

22946 = 2¹ × 7¹ × 11¹ × 149¹

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 22946

List of positive integer factors of 22946 that divides 22946 without a remainder.

1, 2, 7, 11, 14, 22, 77, 149, 154, 298, 1043, 1639, 2086, 3278, 11473

Step-4: Factors of 22960

List of positive integer factors of 22960 that divides 22946 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 22946 and 22960. The biggest common factor number is the GCF number.
So the greatest common factor 22946 and 22960 is 14.

Also check out the Least Common Multiple of 22946 and 22960