What is the Greatest Common Factor of 14985 and 15003?

Greatest common factor (GCF) of 14985 and 15003 is 9.

GCF(14985,15003) = 9

We will now calculate the prime factors of 14985 and 15003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14985 and 15003.

How to find the GCF of 14985 and 15003?

We will first find the prime factorization of 14985 and 15003. After we will calculate the factors of 14985 and 15003 and find the biggest common factor number .

Step-1: Prime Factorization of 14985

Prime factors of 14985 are 3, 5, 37. Prime factorization of 14985 in exponential form is:

14985 = 3⁴ × 5¹ × 37¹

Step-2: Prime Factorization of 15003

Prime factors of 15003 are 3, 1667. Prime factorization of 15003 in exponential form is:

15003 = 3² × 1667¹

Step-3: Factors of 14985

List of positive integer factors of 14985 that divides 14985 without a remainder.

1, 3, 5, 9, 15, 27, 37, 45, 81, 111, 135, 185, 333, 405, 555, 999, 1665, 2997, 4995

Step-4: Factors of 15003

List of positive integer factors of 15003 that divides 14985 without a remainder.

1, 3, 9, 1667, 5001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14985 and 15003. The biggest common factor number is the GCF number.
So the greatest common factor 14985 and 15003 is 9.

Also check out the Least Common Multiple of 14985 and 15003