What is the Greatest Common Factor of 14997 and 15009?

Greatest common factor (GCF) of 14997 and 15009 is 3.

GCF(14997,15009) = 3

We will now calculate the prime factors of 14997 and 15009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14997 and 15009.

How to find the GCF of 14997 and 15009?

We will first find the prime factorization of 14997 and 15009. After we will calculate the factors of 14997 and 15009 and find the biggest common factor number .

Step-1: Prime Factorization of 14997

Prime factors of 14997 are 3, 4999. Prime factorization of 14997 in exponential form is:

14997 = 3¹ × 4999¹

Step-2: Prime Factorization of 15009

Prime factors of 15009 are 3, 5003. Prime factorization of 15009 in exponential form is:

15009 = 3¹ × 5003¹

Step-3: Factors of 14997

List of positive integer factors of 14997 that divides 14997 without a remainder.

1, 3, 4999

Step-4: Factors of 15009

List of positive integer factors of 15009 that divides 14997 without a remainder.

1, 3, 5003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14997 and 15009. The biggest common factor number is the GCF number.
So the greatest common factor 14997 and 15009 is 3.

Also check out the Least Common Multiple of 14997 and 15009