What is the Greatest Common Factor of 34286 and 34302?

Greatest common factor (GCF) of 34286 and 34302 is 2.

GCF(34286,34302) = 2

We will now calculate the prime factors of 34286 and 34302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34286 and 34302.

How to find the GCF of 34286 and 34302?

We will first find the prime factorization of 34286 and 34302. After we will calculate the factors of 34286 and 34302 and find the biggest common factor number .

Step-1: Prime Factorization of 34286

Prime factors of 34286 are 2, 7, 31, 79. Prime factorization of 34286 in exponential form is:

34286 = 2¹ × 7¹ × 31¹ × 79¹

Step-2: Prime Factorization of 34302

Prime factors of 34302 are 2, 3, 5717. Prime factorization of 34302 in exponential form is:

34302 = 2¹ × 3¹ × 5717¹

Step-3: Factors of 34286

List of positive integer factors of 34286 that divides 34286 without a remainder.

1, 2, 7, 14, 31, 62, 79, 158, 217, 434, 553, 1106, 2449, 4898, 17143

Step-4: Factors of 34302

List of positive integer factors of 34302 that divides 34286 without a remainder.

1, 2, 3, 6, 5717, 11434, 17151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34286 and 34302. The biggest common factor number is the GCF number.
So the greatest common factor 34286 and 34302 is 2.

Also check out the Least Common Multiple of 34286 and 34302