What is the Greatest Common Factor of 14658 and 14675?

Greatest common factor (GCF) of 14658 and 14675 is 1.

GCF(14658,14675) = 1

We will now calculate the prime factors of 14658 and 14675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14658 and 14675.

How to find the GCF of 14658 and 14675?

We will first find the prime factorization of 14658 and 14675. After we will calculate the factors of 14658 and 14675 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 14675

Prime factors of 14675 are 5, 587. Prime factorization of 14675 in exponential form is:

14675 = 5² × 587¹

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 14675

List of positive integer factors of 14675 that divides 14658 without a remainder.

1, 5, 25, 587, 2935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14658 and 14675. The biggest common factor number is the GCF number.
So the greatest common factor 14658 and 14675 is 1.

Also check out the Least Common Multiple of 14658 and 14675