What is the Greatest Common Factor of 14375 and 14392?

Greatest common factor (GCF) of 14375 and 14392 is 1.

GCF(14375,14392) = 1

We will now calculate the prime factors of 14375 and 14392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14375 and 14392.

How to find the GCF of 14375 and 14392?

We will first find the prime factorization of 14375 and 14392. After we will calculate the factors of 14375 and 14392 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 14392

Prime factors of 14392 are 2, 7, 257. Prime factorization of 14392 in exponential form is:

14392 = 2³ × 7¹ × 257¹

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 14392

List of positive integer factors of 14392 that divides 14375 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 257, 514, 1028, 1799, 2056, 3598, 7196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14375 and 14392. The biggest common factor number is the GCF number.
So the greatest common factor 14375 and 14392 is 1.

Also check out the Least Common Multiple of 14375 and 14392