What is the Greatest Common Factor of 14375 and 14380?

Greatest common factor (GCF) of 14375 and 14380 is 5.

GCF(14375,14380) = 5

We will now calculate the prime factors of 14375 and 14380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14375 and 14380.

How to find the GCF of 14375 and 14380?

We will first find the prime factorization of 14375 and 14380. After we will calculate the factors of 14375 and 14380 and find the biggest common factor number .

Step-1: Prime Factorization of 14375

Prime factors of 14375 are 5, 23. Prime factorization of 14375 in exponential form is:

14375 = 5⁴ × 23¹

Step-2: 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-3: Factors of 14375

List of positive integer factors of 14375 that divides 14375 without a remainder.

1, 5, 23, 25, 115, 125, 575, 625, 2875

Step-4: Factors of 14380

List of positive integer factors of 14380 that divides 14375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14375 and 14380. The biggest common factor number is the GCF number.
So the greatest common factor 14375 and 14380 is 5.

Also check out the Least Common Multiple of 14375 and 14380