What is the Greatest Common Factor of 34300 and 34317?

Greatest common factor (GCF) of 34300 and 34317 is 1.

GCF(34300,34317) = 1

We will now calculate the prime factors of 34300 and 34317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34300 and 34317.

How to find the GCF of 34300 and 34317?

We will first find the prime factorization of 34300 and 34317. After we will calculate the factors of 34300 and 34317 and find the biggest common factor number .

Step-1: Prime Factorization of 34300

Prime factors of 34300 are 2, 5, 7. Prime factorization of 34300 in exponential form is:

34300 = 2² × 5² × 7³

Step-2: Prime Factorization of 34317

Prime factors of 34317 are 3, 31, 41. Prime factorization of 34317 in exponential form is:

34317 = 3³ × 31¹ × 41¹

Step-3: Factors of 34300

List of positive integer factors of 34300 that divides 34300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 343, 350, 490, 686, 700, 980, 1225, 1372, 1715, 2450, 3430, 4900, 6860, 8575, 17150

Step-4: Factors of 34317

List of positive integer factors of 34317 that divides 34300 without a remainder.

1, 3, 9, 27, 31, 41, 93, 123, 279, 369, 837, 1107, 1271, 3813, 11439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34300 and 34317. The biggest common factor number is the GCF number.
So the greatest common factor 34300 and 34317 is 1.

Also check out the Least Common Multiple of 34300 and 34317