What is the Greatest Common Factor of 14994 and 15004?

Greatest common factor (GCF) of 14994 and 15004 is 2.

GCF(14994,15004) = 2

We will now calculate the prime factors of 14994 and 15004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14994 and 15004.

How to find the GCF of 14994 and 15004?

We will first find the prime factorization of 14994 and 15004. After we will calculate the factors of 14994 and 15004 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 15004

Prime factors of 15004 are 2, 11, 31. Prime factorization of 15004 in exponential form is:

15004 = 2² × 11² × 31¹

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 15004

List of positive integer factors of 15004 that divides 14994 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 121, 124, 242, 341, 484, 682, 1364, 3751, 7502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14994 and 15004. The biggest common factor number is the GCF number.
So the greatest common factor 14994 and 15004 is 2.

Also check out the Least Common Multiple of 14994 and 15004