What is the Greatest Common Factor of 14994 and 15005?

Greatest common factor (GCF) of 14994 and 15005 is 1.

GCF(14994,15005) = 1

We will now calculate the prime factors of 14994 and 15005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14994 and 15005.

How to find the GCF of 14994 and 15005?

We will first find the prime factorization of 14994 and 15005. After we will calculate the factors of 14994 and 15005 and find the biggest common factor number .

Step-1: Prime Factorization of 14994

Prime factors of 14994 are 2, 3, 7, 17. Prime factorization of 14994 in exponential form is:

14994 = 2¹ × 3² × 7² × 17¹

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 14994

List of positive integer factors of 14994 that divides 14994 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 49, 51, 63, 98, 102, 119, 126, 147, 153, 238, 294, 306, 357, 441, 714, 833, 882, 1071, 1666, 2142, 2499, 4998, 7497

Step-4: Factors of 15005

List of positive integer factors of 15005 that divides 14994 without a remainder.

1, 5, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14994 and 15005. The biggest common factor number is the GCF number.
So the greatest common factor 14994 and 15005 is 1.

Also check out the Least Common Multiple of 14994 and 15005