What is the Greatest Common Factor of 14382 and 14401?

Greatest common factor (GCF) of 14382 and 14401 is 1.

GCF(14382,14401) = 1

We will now calculate the prime factors of 14382 and 14401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14382 and 14401.

How to find the GCF of 14382 and 14401?

We will first find the prime factorization of 14382 and 14401. After we will calculate the factors of 14382 and 14401 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14401

Prime factors of 14401 are 14401. Prime factorization of 14401 in exponential form is:

14401 = 14401¹

Step-3: Factors of 14382

List of positive integer factors of 14382 that divides 14382 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

Step-4: Factors of 14401

List of positive integer factors of 14401 that divides 14382 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14382 and 14401. The biggest common factor number is the GCF number.
So the greatest common factor 14382 and 14401 is 1.

Also check out the Least Common Multiple of 14382 and 14401