What is the Greatest Common Factor of 14380 and 14385?

Greatest common factor (GCF) of 14380 and 14385 is 5.

GCF(14380,14385) = 5

We will now calculate the prime factors of 14380 and 14385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14380 and 14385.

How to find the GCF of 14380 and 14385?

We will first find the prime factorization of 14380 and 14385. After we will calculate the factors of 14380 and 14385 and find the biggest common factor number .

Step-1: Prime Factorization of 14380

Prime factors of 14380 are 2, 5, 719. Prime factorization of 14380 in exponential form is:

14380 = 2² × 5¹ × 719¹

Step-2: 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-3: Factors of 14380

List of positive integer factors of 14380 that divides 14380 without a remainder.

1, 2, 4, 5, 10, 20, 719, 1438, 2876, 3595, 7190

Step-4: Factors of 14385

List of positive integer factors of 14385 that divides 14380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14380 and 14385. The biggest common factor number is the GCF number.
So the greatest common factor 14380 and 14385 is 5.

Also check out the Least Common Multiple of 14380 and 14385