What is the Greatest Common Factor of 22989 and 22995?

Greatest common factor (GCF) of 22989 and 22995 is 3.

GCF(22989,22995) = 3

We will now calculate the prime factors of 22989 and 22995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22989 and 22995.

How to find the GCF of 22989 and 22995?

We will first find the prime factorization of 22989 and 22995. After we will calculate the factors of 22989 and 22995 and find the biggest common factor number .

Step-1: Prime Factorization of 22989

Prime factors of 22989 are 3, 79, 97. Prime factorization of 22989 in exponential form is:

22989 = 3¹ × 79¹ × 97¹

Step-2: Prime Factorization of 22995

Prime factors of 22995 are 3, 5, 7, 73. Prime factorization of 22995 in exponential form is:

22995 = 3² × 5¹ × 7¹ × 73¹

Step-3: Factors of 22989

List of positive integer factors of 22989 that divides 22989 without a remainder.

1, 3, 79, 97, 237, 291, 7663

Step-4: Factors of 22995

List of positive integer factors of 22995 that divides 22989 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 73, 105, 219, 315, 365, 511, 657, 1095, 1533, 2555, 3285, 4599, 7665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22989 and 22995. The biggest common factor number is the GCF number.
So the greatest common factor 22989 and 22995 is 3.

Also check out the Least Common Multiple of 22989 and 22995