What is the Greatest Common Factor of 22971 and 22990?

Greatest common factor (GCF) of 22971 and 22990 is 19.

GCF(22971,22990) = 19

We will now calculate the prime factors of 22971 and 22990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22971 and 22990.

How to find the GCF of 22971 and 22990?

We will first find the prime factorization of 22971 and 22990. After we will calculate the factors of 22971 and 22990 and find the biggest common factor number .

Step-1: Prime Factorization of 22971

Prime factors of 22971 are 3, 13, 19, 31. Prime factorization of 22971 in exponential form is:

22971 = 3¹ × 13¹ × 19¹ × 31¹

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 22971

List of positive integer factors of 22971 that divides 22971 without a remainder.

1, 3, 13, 19, 31, 39, 57, 93, 247, 403, 589, 741, 1209, 1767, 7657

Step-4: Factors of 22990

List of positive integer factors of 22990 that divides 22971 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 22971 and 22990. The biggest common factor number is the GCF number.
So the greatest common factor 22971 and 22990 is 19.

Also check out the Least Common Multiple of 22971 and 22990