What is the Greatest Common Factor of 14991 and 15009?

Greatest common factor (GCF) of 14991 and 15009 is 3.

GCF(14991,15009) = 3

We will now calculate the prime factors of 14991 and 15009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14991 and 15009.

How to find the GCF of 14991 and 15009?

We will first find the prime factorization of 14991 and 15009. After we will calculate the factors of 14991 and 15009 and find the biggest common factor number .

Step-1: Prime Factorization of 14991

Prime factors of 14991 are 3, 19, 263. Prime factorization of 14991 in exponential form is:

14991 = 3¹ × 19¹ × 263¹

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 14991

List of positive integer factors of 14991 that divides 14991 without a remainder.

1, 3, 19, 57, 263, 789, 4997

Step-4: Factors of 15009

List of positive integer factors of 15009 that divides 14991 without a remainder.

1, 3, 5003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14991 and 15009. The biggest common factor number is the GCF number.
So the greatest common factor 14991 and 15009 is 3.

Also check out the Least Common Multiple of 14991 and 15009