What is the Greatest Common Factor of 29438 and 29443?

Greatest common factor (GCF) of 29438 and 29443 is 1.

GCF(29438,29443) = 1

We will now calculate the prime factors of 29438 and 29443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29438 and 29443.

How to find the GCF of 29438 and 29443?

We will first find the prime factorization of 29438 and 29443. After we will calculate the factors of 29438 and 29443 and find the biggest common factor number .

Step-1: Prime Factorization of 29438

Prime factors of 29438 are 2, 41, 359. Prime factorization of 29438 in exponential form is:

29438 = 2¹ × 41¹ × 359¹

Step-2: Prime Factorization of 29443

Prime factors of 29443 are 29443. Prime factorization of 29443 in exponential form is:

29443 = 29443¹

Step-3: Factors of 29438

List of positive integer factors of 29438 that divides 29438 without a remainder.

1, 2, 41, 82, 359, 718, 14719

Step-4: Factors of 29443

List of positive integer factors of 29443 that divides 29438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29438 and 29443. The biggest common factor number is the GCF number.
So the greatest common factor 29438 and 29443 is 1.

Also check out the Least Common Multiple of 29438 and 29443