What is the Greatest Common Factor of 3286 and 3294?

Greatest common factor (GCF) of 3286 and 3294 is 2.

GCF(3286,3294) = 2

We will now calculate the prime factors of 3286 and 3294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3286 and 3294.

How to find the GCF of 3286 and 3294?

We will first find the prime factorization of 3286 and 3294. After we will calculate the factors of 3286 and 3294 and find the biggest common factor number .

Step-1: Prime Factorization of 3286

Prime factors of 3286 are 2, 31, 53. Prime factorization of 3286 in exponential form is:

3286 = 2¹ × 31¹ × 53¹

Step-2: Prime Factorization of 3294

Prime factors of 3294 are 2, 3, 61. Prime factorization of 3294 in exponential form is:

3294 = 2¹ × 3³ × 61¹

Step-3: Factors of 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1, 2, 31, 53, 62, 106, 1643

Step-4: Factors of 3294

List of positive integer factors of 3294 that divides 3286 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3286 and 3294. The biggest common factor number is the GCF number.
So the greatest common factor 3286 and 3294 is 2.

Also check out the Least Common Multiple of 3286 and 3294