What is the Greatest Common Factor of 22971 and 22986?

Greatest common factor (GCF) of 22971 and 22986 is 3.

GCF(22971,22986) = 3

We will now calculate the prime factors of 22971 and 22986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22971 and 22986.

How to find the GCF of 22971 and 22986?

We will first find the prime factorization of 22971 and 22986. After we will calculate the factors of 22971 and 22986 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 22986

Prime factors of 22986 are 2, 3, 1277. Prime factorization of 22986 in exponential form is:

22986 = 2¹ × 3² × 1277¹

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 22986

List of positive integer factors of 22986 that divides 22971 without a remainder.

1, 2, 3, 6, 9, 18, 1277, 2554, 3831, 7662, 11493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22971 and 22986. The biggest common factor number is the GCF number.
So the greatest common factor 22971 and 22986 is 3.

Also check out the Least Common Multiple of 22971 and 22986