What is the Greatest Common Factor of 22965 and 22971?

Greatest common factor (GCF) of 22965 and 22971 is 3.

GCF(22965,22971) = 3

We will now calculate the prime factors of 22965 and 22971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22965 and 22971.

How to find the GCF of 22965 and 22971?

We will first find the prime factorization of 22965 and 22971. After we will calculate the factors of 22965 and 22971 and find the biggest common factor number .

Step-1: Prime Factorization of 22965

Prime factors of 22965 are 3, 5, 1531. Prime factorization of 22965 in exponential form is:

22965 = 3¹ × 5¹ × 1531¹

Step-2: 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-3: Factors of 22965

List of positive integer factors of 22965 that divides 22965 without a remainder.

1, 3, 5, 15, 1531, 4593, 7655

Step-4: Factors of 22971

List of positive integer factors of 22971 that divides 22965 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22965 and 22971. The biggest common factor number is the GCF number.
So the greatest common factor 22965 and 22971 is 3.

Also check out the Least Common Multiple of 22965 and 22971