What is the Greatest Common Factor of 43347 and 43359?

Greatest common factor (GCF) of 43347 and 43359 is 3.

GCF(43347,43359) = 3

We will now calculate the prime factors of 43347 and 43359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43347 and 43359.

How to find the GCF of 43347 and 43359?

We will first find the prime factorization of 43347 and 43359. After we will calculate the factors of 43347 and 43359 and find the biggest common factor number .

Step-1: Prime Factorization of 43347

Prime factors of 43347 are 3, 14449. Prime factorization of 43347 in exponential form is:

43347 = 3¹ × 14449¹

Step-2: Prime Factorization of 43359

Prime factors of 43359 are 3, 97, 149. Prime factorization of 43359 in exponential form is:

43359 = 3¹ × 97¹ × 149¹

Step-3: Factors of 43347

List of positive integer factors of 43347 that divides 43347 without a remainder.

1, 3, 14449

Step-4: Factors of 43359

List of positive integer factors of 43359 that divides 43347 without a remainder.

1, 3, 97, 149, 291, 447, 14453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43347 and 43359. The biggest common factor number is the GCF number.
So the greatest common factor 43347 and 43359 is 3.

Also check out the Least Common Multiple of 43347 and 43359