What is the Greatest Common Factor of 14375 and 14382?

Greatest common factor (GCF) of 14375 and 14382 is 1.

GCF(14375,14382) = 1

We will now calculate the prime factors of 14375 and 14382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14375 and 14382.

How to find the GCF of 14375 and 14382?

We will first find the prime factorization of 14375 and 14382. After we will calculate the factors of 14375 and 14382 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 14382

Prime factors of 14382 are 2, 3, 17, 47. Prime factorization of 14382 in exponential form is:

14382 = 2¹ × 3² × 17¹ × 47¹

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 14382

List of positive integer factors of 14382 that divides 14375 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 47, 51, 94, 102, 141, 153, 282, 306, 423, 799, 846, 1598, 2397, 4794, 7191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14375 and 14382. The biggest common factor number is the GCF number.
So the greatest common factor 14375 and 14382 is 1.

Also check out the Least Common Multiple of 14375 and 14382