What is the Greatest Common Factor of 34389 and 34405?

Greatest common factor (GCF) of 34389 and 34405 is 1.

GCF(34389,34405) = 1

We will now calculate the prime factors of 34389 and 34405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34389 and 34405.

How to find the GCF of 34389 and 34405?

We will first find the prime factorization of 34389 and 34405. After we will calculate the factors of 34389 and 34405 and find the biggest common factor number .

Step-1: Prime Factorization of 34389

Prime factors of 34389 are 3, 3821. Prime factorization of 34389 in exponential form is:

34389 = 3² × 3821¹

Step-2: Prime Factorization of 34405

Prime factors of 34405 are 5, 7, 983. Prime factorization of 34405 in exponential form is:

34405 = 5¹ × 7¹ × 983¹

Step-3: Factors of 34389

List of positive integer factors of 34389 that divides 34389 without a remainder.

1, 3, 9, 3821, 11463

Step-4: Factors of 34405

List of positive integer factors of 34405 that divides 34389 without a remainder.

1, 5, 7, 35, 983, 4915, 6881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34389 and 34405. The biggest common factor number is the GCF number.
So the greatest common factor 34389 and 34405 is 1.

Also check out the Least Common Multiple of 34389 and 34405