What is the Greatest Common Factor of 34310 and 34329?

Greatest common factor (GCF) of 34310 and 34329 is 1.

GCF(34310,34329) = 1

We will now calculate the prime factors of 34310 and 34329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34310 and 34329.

How to find the GCF of 34310 and 34329?

We will first find the prime factorization of 34310 and 34329. After we will calculate the factors of 34310 and 34329 and find the biggest common factor number .

Step-1: Prime Factorization of 34310

Prime factors of 34310 are 2, 5, 47, 73. Prime factorization of 34310 in exponential form is:

34310 = 2¹ × 5¹ × 47¹ × 73¹

Step-2: Prime Factorization of 34329

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

34329 = 3¹ × 11443¹

Step-3: Factors of 34310

List of positive integer factors of 34310 that divides 34310 without a remainder.

1, 2, 5, 10, 47, 73, 94, 146, 235, 365, 470, 730, 3431, 6862, 17155

Step-4: Factors of 34329

List of positive integer factors of 34329 that divides 34310 without a remainder.

1, 3, 11443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34310 and 34329. The biggest common factor number is the GCF number.
So the greatest common factor 34310 and 34329 is 1.

Also check out the Least Common Multiple of 34310 and 34329