What is the Greatest Common Factor of 14985 and 15005?

Greatest common factor (GCF) of 14985 and 15005 is 5.

GCF(14985,15005) = 5

We will now calculate the prime factors of 14985 and 15005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14985 and 15005.

How to find the GCF of 14985 and 15005?

We will first find the prime factorization of 14985 and 15005. After we will calculate the factors of 14985 and 15005 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 15005

Prime factors of 15005 are 5, 3001. Prime factorization of 15005 in exponential form is:

15005 = 5¹ × 3001¹

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 15005

List of positive integer factors of 15005 that divides 14985 without a remainder.

1, 5, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14985 and 15005. The biggest common factor number is the GCF number.
So the greatest common factor 14985 and 15005 is 5.

Also check out the Least Common Multiple of 14985 and 15005