What is the Greatest Common Factor of 14385 and 14404?

Greatest common factor (GCF) of 14385 and 14404 is 1.

GCF(14385,14404) = 1

We will now calculate the prime factors of 14385 and 14404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14385 and 14404.

How to find the GCF of 14385 and 14404?

We will first find the prime factorization of 14385 and 14404. After we will calculate the factors of 14385 and 14404 and find the biggest common factor number .

Step-1: Prime Factorization of 14385

Prime factors of 14385 are 3, 5, 7, 137. Prime factorization of 14385 in exponential form is:

14385 = 3¹ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 14404

Prime factors of 14404 are 2, 13, 277. Prime factorization of 14404 in exponential form is:

14404 = 2² × 13¹ × 277¹

Step-3: Factors of 14385

List of positive integer factors of 14385 that divides 14385 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 137, 411, 685, 959, 2055, 2877, 4795

Step-4: Factors of 14404

List of positive integer factors of 14404 that divides 14385 without a remainder.

1, 2, 4, 13, 26, 52, 277, 554, 1108, 3601, 7202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14385 and 14404. The biggest common factor number is the GCF number.
So the greatest common factor 14385 and 14404 is 1.

Also check out the Least Common Multiple of 14385 and 14404