What is the Greatest Common Factor of 34315 and 34335?

Greatest common factor (GCF) of 34315 and 34335 is 5.

GCF(34315,34335) = 5

We will now calculate the prime factors of 34315 and 34335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34315 and 34335.

How to find the GCF of 34315 and 34335?

We will first find the prime factorization of 34315 and 34335. After we will calculate the factors of 34315 and 34335 and find the biggest common factor number .

Step-1: Prime Factorization of 34315

Prime factors of 34315 are 5, 6863. Prime factorization of 34315 in exponential form is:

34315 = 5¹ × 6863¹

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 34315

List of positive integer factors of 34315 that divides 34315 without a remainder.

1, 5, 6863

Step-4: Factors of 34335

List of positive integer factors of 34335 that divides 34315 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 34315 and 34335. The biggest common factor number is the GCF number.
So the greatest common factor 34315 and 34335 is 5.

Also check out the Least Common Multiple of 34315 and 34335