What is the Greatest Common Factor of 42314 and 42329?

Greatest common factor (GCF) of 42314 and 42329 is 1.

GCF(42314,42329) = 1

We will now calculate the prime factors of 42314 and 42329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42314 and 42329.

How to find the GCF of 42314 and 42329?

We will first find the prime factorization of 42314 and 42329. After we will calculate the factors of 42314 and 42329 and find the biggest common factor number .

Step-1: Prime Factorization of 42314

Prime factors of 42314 are 2, 21157. Prime factorization of 42314 in exponential form is:

42314 = 2¹ × 21157¹

Step-2: Prime Factorization of 42329

Prime factors of 42329 are 7, 6047. Prime factorization of 42329 in exponential form is:

42329 = 7¹ × 6047¹

Step-3: Factors of 42314

List of positive integer factors of 42314 that divides 42314 without a remainder.

1, 2, 21157

Step-4: Factors of 42329

List of positive integer factors of 42329 that divides 42314 without a remainder.

1, 7, 6047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42314 and 42329. The biggest common factor number is the GCF number.
So the greatest common factor 42314 and 42329 is 1.

Also check out the Least Common Multiple of 42314 and 42329