What is the Greatest Common Factor of 34380 and 34395?

Greatest common factor (GCF) of 34380 and 34395 is 15.

GCF(34380,34395) = 15

We will now calculate the prime factors of 34380 and 34395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34380 and 34395.

How to find the GCF of 34380 and 34395?

We will first find the prime factorization of 34380 and 34395. After we will calculate the factors of 34380 and 34395 and find the biggest common factor number .

Step-1: Prime Factorization of 34380

Prime factors of 34380 are 2, 3, 5, 191. Prime factorization of 34380 in exponential form is:

34380 = 2² × 3² × 5¹ × 191¹

Step-2: Prime Factorization of 34395

Prime factors of 34395 are 3, 5, 2293. Prime factorization of 34395 in exponential form is:

34395 = 3¹ × 5¹ × 2293¹

Step-3: Factors of 34380

List of positive integer factors of 34380 that divides 34380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 191, 382, 573, 764, 955, 1146, 1719, 1910, 2292, 2865, 3438, 3820, 5730, 6876, 8595, 11460, 17190

Step-4: Factors of 34395

List of positive integer factors of 34395 that divides 34380 without a remainder.

1, 3, 5, 15, 2293, 6879, 11465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34380 and 34395. The biggest common factor number is the GCF number.
So the greatest common factor 34380 and 34395 is 15.

Also check out the Least Common Multiple of 34380 and 34395