What is the Greatest Common Factor of 14658 and 14671?

Greatest common factor (GCF) of 14658 and 14671 is 1.

GCF(14658,14671) = 1

We will now calculate the prime factors of 14658 and 14671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14658 and 14671.

How to find the GCF of 14658 and 14671?

We will first find the prime factorization of 14658 and 14671. After we will calculate the factors of 14658 and 14671 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 14671

Prime factors of 14671 are 17, 863. Prime factorization of 14671 in exponential form is:

14671 = 17¹ × 863¹

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 14671

List of positive integer factors of 14671 that divides 14658 without a remainder.

1, 17, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14658 and 14671. The biggest common factor number is the GCF number.
So the greatest common factor 14658 and 14671 is 1.

Also check out the Least Common Multiple of 14658 and 14671