What is the Greatest Common Factor of 14677 and 14683?

Greatest common factor (GCF) of 14677 and 14683 is 1.

GCF(14677,14683) = 1

We will now calculate the prime factors of 14677 and 14683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14677 and 14683.

How to find the GCF of 14677 and 14683?

We will first find the prime factorization of 14677 and 14683. After we will calculate the factors of 14677 and 14683 and find the biggest common factor number .

Step-1: Prime Factorization of 14677

Prime factors of 14677 are 13, 1129. Prime factorization of 14677 in exponential form is:

14677 = 13¹ × 1129¹

Step-2: Prime Factorization of 14683

Prime factors of 14683 are 14683. Prime factorization of 14683 in exponential form is:

14683 = 14683¹

Step-3: Factors of 14677

List of positive integer factors of 14677 that divides 14677 without a remainder.

1, 13, 1129

Step-4: Factors of 14683

List of positive integer factors of 14683 that divides 14677 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14677 and 14683. The biggest common factor number is the GCF number.
So the greatest common factor 14677 and 14683 is 1.

Also check out the Least Common Multiple of 14677 and 14683