What is the Greatest Common Factor of 14974 and 14985?

Greatest common factor (GCF) of 14974 and 14985 is 1.

GCF(14974,14985) = 1

We will now calculate the prime factors of 14974 and 14985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14974 and 14985.

How to find the GCF of 14974 and 14985?

We will first find the prime factorization of 14974 and 14985. After we will calculate the factors of 14974 and 14985 and find the biggest common factor number .

Step-1: Prime Factorization of 14974

Prime factors of 14974 are 2, 7487. Prime factorization of 14974 in exponential form is:

14974 = 2¹ × 7487¹

Step-2: 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-3: Factors of 14974

List of positive integer factors of 14974 that divides 14974 without a remainder.

1, 2, 7487

Step-4: Factors of 14985

List of positive integer factors of 14985 that divides 14974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14974 and 14985. The biggest common factor number is the GCF number.
So the greatest common factor 14974 and 14985 is 1.

Also check out the Least Common Multiple of 14974 and 14985