What is the Greatest Common Factor of 22930 and 22950?

Greatest common factor (GCF) of 22930 and 22950 is 10.

GCF(22930,22950) = 10

We will now calculate the prime factors of 22930 and 22950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22930 and 22950.

How to find the GCF of 22930 and 22950?

We will first find the prime factorization of 22930 and 22950. After we will calculate the factors of 22930 and 22950 and find the biggest common factor number .

Step-1: Prime Factorization of 22930

Prime factors of 22930 are 2, 5, 2293. Prime factorization of 22930 in exponential form is:

22930 = 2¹ × 5¹ × 2293¹

Step-2: 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-3: Factors of 22930

List of positive integer factors of 22930 that divides 22930 without a remainder.

1, 2, 5, 10, 2293, 4586, 11465

Step-4: Factors of 22950

List of positive integer factors of 22950 that divides 22930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22930 and 22950. The biggest common factor number is the GCF number.
So the greatest common factor 22930 and 22950 is 10.

Also check out the Least Common Multiple of 22930 and 22950