What is the Greatest Common Factor of 34330 and 34350?

Greatest common factor (GCF) of 34330 and 34350 is 10.

GCF(34330,34350) = 10

We will now calculate the prime factors of 34330 and 34350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34330 and 34350.

How to find the GCF of 34330 and 34350?

We will first find the prime factorization of 34330 and 34350. After we will calculate the factors of 34330 and 34350 and find the biggest common factor number .

Step-1: Prime Factorization of 34330

Prime factors of 34330 are 2, 5, 3433. Prime factorization of 34330 in exponential form is:

34330 = 2¹ × 5¹ × 3433¹

Step-2: Prime Factorization of 34350

Prime factors of 34350 are 2, 3, 5, 229. Prime factorization of 34350 in exponential form is:

34350 = 2¹ × 3¹ × 5² × 229¹

Step-3: Factors of 34330

List of positive integer factors of 34330 that divides 34330 without a remainder.

1, 2, 5, 10, 3433, 6866, 17165

Step-4: Factors of 34350

List of positive integer factors of 34350 that divides 34330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 229, 458, 687, 1145, 1374, 2290, 3435, 5725, 6870, 11450, 17175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34330 and 34350. The biggest common factor number is the GCF number.
So the greatest common factor 34330 and 34350 is 10.

Also check out the Least Common Multiple of 34330 and 34350