What is the Greatest Common Factor of 14985 and 14990?

Greatest common factor (GCF) of 14985 and 14990 is 5.

GCF(14985,14990) = 5

We will now calculate the prime factors of 14985 and 14990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14985 and 14990.

How to find the GCF of 14985 and 14990?

We will first find the prime factorization of 14985 and 14990. After we will calculate the factors of 14985 and 14990 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 14990

Prime factors of 14990 are 2, 5, 1499. Prime factorization of 14990 in exponential form is:

14990 = 2¹ × 5¹ × 1499¹

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 14990

List of positive integer factors of 14990 that divides 14985 without a remainder.

1, 2, 5, 10, 1499, 2998, 7495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14985 and 14990. The biggest common factor number is the GCF number.
So the greatest common factor 14985 and 14990 is 5.

Also check out the Least Common Multiple of 14985 and 14990