What is the Greatest Common Factor of 34392 and 34407?

Greatest common factor (GCF) of 34392 and 34407 is 3.

GCF(34392,34407) = 3

We will now calculate the prime factors of 34392 and 34407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34392 and 34407.

How to find the GCF of 34392 and 34407?

We will first find the prime factorization of 34392 and 34407. After we will calculate the factors of 34392 and 34407 and find the biggest common factor number .

Step-1: Prime Factorization of 34392

Prime factors of 34392 are 2, 3, 1433. Prime factorization of 34392 in exponential form is:

34392 = 2³ × 3¹ × 1433¹

Step-2: Prime Factorization of 34407

Prime factors of 34407 are 3, 3823. Prime factorization of 34407 in exponential form is:

34407 = 3² × 3823¹

Step-3: Factors of 34392

List of positive integer factors of 34392 that divides 34392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1433, 2866, 4299, 5732, 8598, 11464, 17196

Step-4: Factors of 34407

List of positive integer factors of 34407 that divides 34392 without a remainder.

1, 3, 9, 3823, 11469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34392 and 34407. The biggest common factor number is the GCF number.
So the greatest common factor 34392 and 34407 is 3.

Also check out the Least Common Multiple of 34392 and 34407