What is the Greatest Common Factor of 34284 and 34296?

Greatest common factor (GCF) of 34284 and 34296 is 12.

GCF(34284,34296) = 12

We will now calculate the prime factors of 34284 and 34296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34284 and 34296.

How to find the GCF of 34284 and 34296?

We will first find the prime factorization of 34284 and 34296. After we will calculate the factors of 34284 and 34296 and find the biggest common factor number .

Step-1: Prime Factorization of 34284

Prime factors of 34284 are 2, 3, 2857. Prime factorization of 34284 in exponential form is:

34284 = 2² × 3¹ × 2857¹

Step-2: Prime Factorization of 34296

Prime factors of 34296 are 2, 3, 1429. Prime factorization of 34296 in exponential form is:

34296 = 2³ × 3¹ × 1429¹

Step-3: Factors of 34284

List of positive integer factors of 34284 that divides 34284 without a remainder.

1, 2, 3, 4, 6, 12, 2857, 5714, 8571, 11428, 17142

Step-4: Factors of 34296

List of positive integer factors of 34296 that divides 34284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1429, 2858, 4287, 5716, 8574, 11432, 17148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34284 and 34296. The biggest common factor number is the GCF number.
So the greatest common factor 34284 and 34296 is 12.

Also check out the Least Common Multiple of 34284 and 34296