What is the Greatest Common Factor of 14658 and 14678?

Greatest common factor (GCF) of 14658 and 14678 is 2.

GCF(14658,14678) = 2

We will now calculate the prime factors of 14658 and 14678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14658 and 14678.

How to find the GCF of 14658 and 14678?

We will first find the prime factorization of 14658 and 14678. After we will calculate the factors of 14658 and 14678 and find the biggest common factor number .

Step-1: Prime Factorization of 14658

Prime factors of 14658 are 2, 3, 7, 349. Prime factorization of 14658 in exponential form is:

14658 = 2¹ × 3¹ × 7¹ × 349¹

Step-2: Prime Factorization of 14678

Prime factors of 14678 are 2, 41, 179. Prime factorization of 14678 in exponential form is:

14678 = 2¹ × 41¹ × 179¹

Step-3: Factors of 14658

List of positive integer factors of 14658 that divides 14658 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 349, 698, 1047, 2094, 2443, 4886, 7329

Step-4: Factors of 14678

List of positive integer factors of 14678 that divides 14658 without a remainder.

1, 2, 41, 82, 179, 358, 7339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14658 and 14678. The biggest common factor number is the GCF number.
So the greatest common factor 14658 and 14678 is 2.

Also check out the Least Common Multiple of 14658 and 14678