What is the Greatest Common Factor of 43398 and 43417?

Greatest common factor (GCF) of 43398 and 43417 is 1.

GCF(43398,43417) = 1

We will now calculate the prime factors of 43398 and 43417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43398 and 43417.

How to find the GCF of 43398 and 43417?

We will first find the prime factorization of 43398 and 43417. After we will calculate the factors of 43398 and 43417 and find the biggest common factor number .

Step-1: Prime Factorization of 43398

Prime factors of 43398 are 2, 3, 2411. Prime factorization of 43398 in exponential form is:

43398 = 2¹ × 3² × 2411¹

Step-2: Prime Factorization of 43417

Prime factors of 43417 are 11, 3947. Prime factorization of 43417 in exponential form is:

43417 = 11¹ × 3947¹

Step-3: Factors of 43398

List of positive integer factors of 43398 that divides 43398 without a remainder.

1, 2, 3, 6, 9, 18, 2411, 4822, 7233, 14466, 21699

Step-4: Factors of 43417

List of positive integer factors of 43417 that divides 43398 without a remainder.

1, 11, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43398 and 43417. The biggest common factor number is the GCF number.
So the greatest common factor 43398 and 43417 is 1.

Also check out the Least Common Multiple of 43398 and 43417