What is the Greatest Common Factor of 22998 and 23013?

Greatest common factor (GCF) of 22998 and 23013 is 3.

GCF(22998,23013) = 3

We will now calculate the prime factors of 22998 and 23013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22998 and 23013.

How to find the GCF of 22998 and 23013?

We will first find the prime factorization of 22998 and 23013. After we will calculate the factors of 22998 and 23013 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23013

Prime factors of 23013 are 3, 2557. Prime factorization of 23013 in exponential form is:

23013 = 3² × 2557¹

Step-3: Factors of 22998

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

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

Step-4: Factors of 23013

List of positive integer factors of 23013 that divides 22998 without a remainder.

1, 3, 9, 2557, 7671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22998 and 23013. The biggest common factor number is the GCF number.
So the greatest common factor 22998 and 23013 is 3.

Also check out the Least Common Multiple of 22998 and 23013