What is the Greatest Common Factor of 34383 and 34401?

Greatest common factor (GCF) of 34383 and 34401 is 3.

GCF(34383,34401) = 3

We will now calculate the prime factors of 34383 and 34401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34383 and 34401.

How to find the GCF of 34383 and 34401?

We will first find the prime factorization of 34383 and 34401. After we will calculate the factors of 34383 and 34401 and find the biggest common factor number .

Step-1: Prime Factorization of 34383

Prime factors of 34383 are 3, 73, 157. Prime factorization of 34383 in exponential form is:

34383 = 3¹ × 73¹ × 157¹

Step-2: Prime Factorization of 34401

Prime factors of 34401 are 3, 11467. Prime factorization of 34401 in exponential form is:

34401 = 3¹ × 11467¹

Step-3: Factors of 34383

List of positive integer factors of 34383 that divides 34383 without a remainder.

1, 3, 73, 157, 219, 471, 11461

Step-4: Factors of 34401

List of positive integer factors of 34401 that divides 34383 without a remainder.

1, 3, 11467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34383 and 34401. The biggest common factor number is the GCF number.
So the greatest common factor 34383 and 34401 is 3.

Also check out the Least Common Multiple of 34383 and 34401