What is the Greatest Common Factor of 14985 and 14995?

Greatest common factor (GCF) of 14985 and 14995 is 5.

GCF(14985,14995) = 5

We will now calculate the prime factors of 14985 and 14995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14985 and 14995.

How to find the GCF of 14985 and 14995?

We will first find the prime factorization of 14985 and 14995. After we will calculate the factors of 14985 and 14995 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 14995

Prime factors of 14995 are 5, 2999. Prime factorization of 14995 in exponential form is:

14995 = 5¹ × 2999¹

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 14995

List of positive integer factors of 14995 that divides 14985 without a remainder.

1, 5, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14985 and 14995. The biggest common factor number is the GCF number.
So the greatest common factor 14985 and 14995 is 5.

Also check out the Least Common Multiple of 14985 and 14995