What is the Greatest Common Factor of 14980 and 14994?

Greatest common factor (GCF) of 14980 and 14994 is 14.

GCF(14980,14994) = 14

We will now calculate the prime factors of 14980 and 14994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14980 and 14994.

How to find the GCF of 14980 and 14994?

We will first find the prime factorization of 14980 and 14994. After we will calculate the factors of 14980 and 14994 and find the biggest common factor number .

Step-1: Prime Factorization of 14980

Prime factors of 14980 are 2, 5, 7, 107. Prime factorization of 14980 in exponential form is:

14980 = 2² × 5¹ × 7¹ × 107¹

Step-2: 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-3: Factors of 14980

List of positive integer factors of 14980 that divides 14980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 107, 140, 214, 428, 535, 749, 1070, 1498, 2140, 2996, 3745, 7490

Step-4: Factors of 14994

List of positive integer factors of 14994 that divides 14980 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14980 and 14994. The biggest common factor number is the GCF number.
So the greatest common factor 14980 and 14994 is 14.

Also check out the Least Common Multiple of 14980 and 14994