What is the Greatest Common Factor of 22989 and 22998?

Greatest common factor (GCF) of 22989 and 22998 is 3.

GCF(22989,22998) = 3

We will now calculate the prime factors of 22989 and 22998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22989 and 22998.

How to find the GCF of 22989 and 22998?

We will first find the prime factorization of 22989 and 22998. After we will calculate the factors of 22989 and 22998 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 22998

Prime factors of 22998 are 2, 3, 3833. Prime factorization of 22998 in exponential form is:

22998 = 2¹ × 3¹ × 3833¹

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 22998

List of positive integer factors of 22998 that divides 22989 without a remainder.

1, 2, 3, 6, 3833, 7666, 11499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22989 and 22998. The biggest common factor number is the GCF number.
So the greatest common factor 22989 and 22998 is 3.

Also check out the Least Common Multiple of 22989 and 22998