What is the Greatest Common Factor of 14677 and 14681?

Greatest common factor (GCF) of 14677 and 14681 is 1.

GCF(14677,14681) = 1

We will now calculate the prime factors of 14677 and 14681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14677 and 14681.

How to find the GCF of 14677 and 14681?

We will first find the prime factorization of 14677 and 14681. After we will calculate the factors of 14677 and 14681 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 14681

Prime factors of 14681 are 53, 277. Prime factorization of 14681 in exponential form is:

14681 = 53¹ × 277¹

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 14681

List of positive integer factors of 14681 that divides 14677 without a remainder.

1, 53, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14677 and 14681. The biggest common factor number is the GCF number.
So the greatest common factor 14677 and 14681 is 1.

Also check out the Least Common Multiple of 14677 and 14681