What is the Greatest Common Factor of 14370 and 14375?

Greatest common factor (GCF) of 14370 and 14375 is 5.

GCF(14370,14375) = 5

We will now calculate the prime factors of 14370 and 14375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14370 and 14375.

How to find the GCF of 14370 and 14375?

We will first find the prime factorization of 14370 and 14375. After we will calculate the factors of 14370 and 14375 and find the biggest common factor number .

Step-1: Prime Factorization of 14370

Prime factors of 14370 are 2, 3, 5, 479. Prime factorization of 14370 in exponential form is:

14370 = 2¹ × 3¹ × 5¹ × 479¹

Step-2: Prime Factorization of 14375

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

14375 = 5⁴ × 23¹

Step-3: Factors of 14370

List of positive integer factors of 14370 that divides 14370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 479, 958, 1437, 2395, 2874, 4790, 7185

Step-4: Factors of 14375

List of positive integer factors of 14375 that divides 14370 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14370 and 14375. The biggest common factor number is the GCF number.
So the greatest common factor 14370 and 14375 is 5.

Also check out the Least Common Multiple of 14370 and 14375