What is the Greatest Common Factor of 14994 and 15012?

Greatest common factor (GCF) of 14994 and 15012 is 18.

GCF(14994,15012) = 18

We will now calculate the prime factors of 14994 and 15012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14994 and 15012.

How to find the GCF of 14994 and 15012?

We will first find the prime factorization of 14994 and 15012. After we will calculate the factors of 14994 and 15012 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 15012

Prime factors of 15012 are 2, 3, 139. Prime factorization of 15012 in exponential form is:

15012 = 2² × 3³ × 139¹

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 15012

List of positive integer factors of 15012 that divides 14994 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 139, 278, 417, 556, 834, 1251, 1668, 2502, 3753, 5004, 7506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14994 and 15012. The biggest common factor number is the GCF number.
So the greatest common factor 14994 and 15012 is 18.

Also check out the Least Common Multiple of 14994 and 15012