What is the Greatest Common Factor of 14658 and 14668?

Greatest common factor (GCF) of 14658 and 14668 is 2.

GCF(14658,14668) = 2

We will now calculate the prime factors of 14658 and 14668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14658 and 14668.

How to find the GCF of 14658 and 14668?

We will first find the prime factorization of 14658 and 14668. After we will calculate the factors of 14658 and 14668 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 14668

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

14668 = 2² × 19¹ × 193¹

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 14668

List of positive integer factors of 14668 that divides 14658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14658 and 14668. The biggest common factor number is the GCF number.
So the greatest common factor 14658 and 14668 is 2.

Also check out the Least Common Multiple of 14658 and 14668