What is the Greatest Common Factor of 14429 and 14444?

Greatest common factor (GCF) of 14429 and 14444 is 1.

GCF(14429,14444) = 1

We will now calculate the prime factors of 14429 and 14444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14429 and 14444.

How to find the GCF of 14429 and 14444?

We will first find the prime factorization of 14429 and 14444. After we will calculate the factors of 14429 and 14444 and find the biggest common factor number .

Step-1: Prime Factorization of 14429

Prime factors of 14429 are 47, 307. Prime factorization of 14429 in exponential form is:

14429 = 47¹ × 307¹

Step-2: Prime Factorization of 14444

Prime factors of 14444 are 2, 23, 157. Prime factorization of 14444 in exponential form is:

14444 = 2² × 23¹ × 157¹

Step-3: Factors of 14429

List of positive integer factors of 14429 that divides 14429 without a remainder.

1, 47, 307

Step-4: Factors of 14444

List of positive integer factors of 14444 that divides 14429 without a remainder.

1, 2, 4, 23, 46, 92, 157, 314, 628, 3611, 7222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14429 and 14444. The biggest common factor number is the GCF number.
So the greatest common factor 14429 and 14444 is 1.

Also check out the Least Common Multiple of 14429 and 14444