What is the Greatest Common Factor of 14677 and 14685?

Greatest common factor (GCF) of 14677 and 14685 is 1.

GCF(14677,14685) = 1

We will now calculate the prime factors of 14677 and 14685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14677 and 14685.

How to find the GCF of 14677 and 14685?

We will first find the prime factorization of 14677 and 14685. After we will calculate the factors of 14677 and 14685 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 14685

Prime factors of 14685 are 3, 5, 11, 89. Prime factorization of 14685 in exponential form is:

14685 = 3¹ × 5¹ × 11¹ × 89¹

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 14685

List of positive integer factors of 14685 that divides 14677 without a remainder.

1, 3, 5, 11, 15, 33, 55, 89, 165, 267, 445, 979, 1335, 2937, 4895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14677 and 14685. The biggest common factor number is the GCF number.
So the greatest common factor 14677 and 14685 is 1.

Also check out the Least Common Multiple of 14677 and 14685