What is the Greatest Common Factor of 34329 and 34335?

Greatest common factor (GCF) of 34329 and 34335 is 3.

GCF(34329,34335) = 3

We will now calculate the prime factors of 34329 and 34335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34329 and 34335.

How to find the GCF of 34329 and 34335?

We will first find the prime factorization of 34329 and 34335. After we will calculate the factors of 34329 and 34335 and find the biggest common factor number .

Step-1: Prime Factorization of 34329

Prime factors of 34329 are 3, 11443. Prime factorization of 34329 in exponential form is:

34329 = 3¹ × 11443¹

Step-2: Prime Factorization of 34335

Prime factors of 34335 are 3, 5, 7, 109. Prime factorization of 34335 in exponential form is:

34335 = 3² × 5¹ × 7¹ × 109¹

Step-3: Factors of 34329

List of positive integer factors of 34329 that divides 34329 without a remainder.

1, 3, 11443

Step-4: Factors of 34335

List of positive integer factors of 34335 that divides 34329 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 109, 315, 327, 545, 763, 981, 1635, 2289, 3815, 4905, 6867, 11445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34329 and 34335. The biggest common factor number is the GCF number.
So the greatest common factor 34329 and 34335 is 3.

Also check out the Least Common Multiple of 34329 and 34335