What is the Greatest Common Factor of 22975 and 22990?

Greatest common factor (GCF) of 22975 and 22990 is 5.

GCF(22975,22990) = 5

We will now calculate the prime factors of 22975 and 22990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22975 and 22990.

How to find the GCF of 22975 and 22990?

We will first find the prime factorization of 22975 and 22990. After we will calculate the factors of 22975 and 22990 and find the biggest common factor number .

Step-1: Prime Factorization of 22975

Prime factors of 22975 are 5, 919. Prime factorization of 22975 in exponential form is:

22975 = 5² × 919¹

Step-2: 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-3: Factors of 22975

List of positive integer factors of 22975 that divides 22975 without a remainder.

1, 5, 25, 919, 4595

Step-4: Factors of 22990

List of positive integer factors of 22990 that divides 22975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22975 and 22990. The biggest common factor number is the GCF number.
So the greatest common factor 22975 and 22990 is 5.

Also check out the Least Common Multiple of 22975 and 22990