What is the Greatest Common Factor of 14668 and 14687?

Greatest common factor (GCF) of 14668 and 14687 is 19.

GCF(14668,14687) = 19

We will now calculate the prime factors of 14668 and 14687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14668 and 14687.

How to find the GCF of 14668 and 14687?

We will first find the prime factorization of 14668 and 14687. After we will calculate the factors of 14668 and 14687 and find the biggest common factor number .

Step-1: Prime Factorization of 14668

Prime factors of 14668 are 2, 19, 193. Prime factorization of 14668 in exponential form is:

14668 = 2² × 19¹ × 193¹

Step-2: Prime Factorization of 14687

Prime factors of 14687 are 19, 773. Prime factorization of 14687 in exponential form is:

14687 = 19¹ × 773¹

Step-3: Factors of 14668

List of positive integer factors of 14668 that divides 14668 without a remainder.

1, 2, 4, 19, 38, 76, 193, 386, 772, 3667, 7334

Step-4: Factors of 14687

List of positive integer factors of 14687 that divides 14668 without a remainder.

1, 19, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14668 and 14687. The biggest common factor number is the GCF number.
So the greatest common factor 14668 and 14687 is 19.

Also check out the Least Common Multiple of 14668 and 14687