What is the Greatest Common Factor of 22950 and 22960?

Greatest common factor (GCF) of 22950 and 22960 is 10.

GCF(22950,22960) = 10

We will now calculate the prime factors of 22950 and 22960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22950 and 22960.

How to find the GCF of 22950 and 22960?

We will first find the prime factorization of 22950 and 22960. After we will calculate the factors of 22950 and 22960 and find the biggest common factor number .

Step-1: Prime Factorization of 22950

Prime factors of 22950 are 2, 3, 5, 17. Prime factorization of 22950 in exponential form is:

22950 = 2¹ × 3³ × 5² × 17¹

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 22950

List of positive integer factors of 22950 that divides 22950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 27, 30, 34, 45, 50, 51, 54, 75, 85, 90, 102, 135, 150, 153, 170, 225, 255, 270, 306, 425, 450, 459, 510, 675, 765, 850, 918, 1275, 1350, 1530, 2295, 2550, 3825, 4590, 7650, 11475

Step-4: Factors of 22960

List of positive integer factors of 22960 that divides 22950 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 22950 and 22960. The biggest common factor number is the GCF number.
So the greatest common factor 22950 and 22960 is 10.

Also check out the Least Common Multiple of 22950 and 22960