What is the Greatest Common Factor of 22950 and 22968?

Greatest common factor (GCF) of 22950 and 22968 is 18.

GCF(22950,22968) = 18

We will now calculate the prime factors of 22950 and 22968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22950 and 22968.

How to find the GCF of 22950 and 22968?

We will first find the prime factorization of 22950 and 22968. After we will calculate the factors of 22950 and 22968 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 22968

Prime factors of 22968 are 2, 3, 11, 29. Prime factorization of 22968 in exponential form is:

22968 = 2³ × 3² × 11¹ × 29¹

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 22968

List of positive integer factors of 22968 that divides 22950 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 29, 33, 36, 44, 58, 66, 72, 87, 88, 99, 116, 132, 174, 198, 232, 261, 264, 319, 348, 396, 522, 638, 696, 792, 957, 1044, 1276, 1914, 2088, 2552, 2871, 3828, 5742, 7656, 11484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22950 and 22968. The biggest common factor number is the GCF number.
So the greatest common factor 22950 and 22968 is 18.

Also check out the Least Common Multiple of 22950 and 22968