What is the Greatest Common Factor of 34286 and 34298?

Greatest common factor (GCF) of 34286 and 34298 is 2.

GCF(34286,34298) = 2

We will now calculate the prime factors of 34286 and 34298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34286 and 34298.

How to find the GCF of 34286 and 34298?

We will first find the prime factorization of 34286 and 34298. After we will calculate the factors of 34286 and 34298 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 34298

Prime factors of 34298 are 2, 11, 1559. Prime factorization of 34298 in exponential form is:

34298 = 2¹ × 11¹ × 1559¹

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 34298

List of positive integer factors of 34298 that divides 34286 without a remainder.

1, 2, 11, 22, 1559, 3118, 17149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34286 and 34298. The biggest common factor number is the GCF number.
So the greatest common factor 34286 and 34298 is 2.

Also check out the Least Common Multiple of 34286 and 34298