What is the Greatest Common Factor of 22990 and 23000?

Greatest common factor (GCF) of 22990 and 23000 is 10.

GCF(22990,23000) = 10

We will now calculate the prime factors of 22990 and 23000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22990 and 23000.

How to find the GCF of 22990 and 23000?

We will first find the prime factorization of 22990 and 23000. After we will calculate the factors of 22990 and 23000 and find the biggest common factor number .

Step-1: Prime Factorization of 22990

Prime factors of 22990 are 2, 5, 11, 19. Prime factorization of 22990 in exponential form is:

22990 = 2¹ × 5¹ × 11² × 19¹

Step-2: Prime Factorization of 23000

Prime factors of 23000 are 2, 5, 23. Prime factorization of 23000 in exponential form is:

23000 = 2³ × 5³ × 23¹

Step-3: Factors of 22990

List of positive integer factors of 22990 that divides 22990 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 121, 190, 209, 242, 418, 605, 1045, 1210, 2090, 2299, 4598, 11495

Step-4: Factors of 23000

List of positive integer factors of 23000 that divides 22990 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 125, 184, 200, 230, 250, 460, 500, 575, 920, 1000, 1150, 2300, 2875, 4600, 5750, 11500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22990 and 23000. The biggest common factor number is the GCF number.
So the greatest common factor 22990 and 23000 is 10.

Also check out the Least Common Multiple of 22990 and 23000