What is the Greatest Common Factor of 3278 and 3298?

Greatest common factor (GCF) of 3278 and 3298 is 2.

GCF(3278,3298) = 2

We will now calculate the prime factors of 3278 and 3298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3278 and 3298.

How to find the GCF of 3278 and 3298?

We will first find the prime factorization of 3278 and 3298. After we will calculate the factors of 3278 and 3298 and find the biggest common factor number .

Step-1: Prime Factorization of 3278

Prime factors of 3278 are 2, 11, 149. Prime factorization of 3278 in exponential form is:

3278 = 2¹ × 11¹ × 149¹

Step-2: Prime Factorization of 3298

Prime factors of 3298 are 2, 17, 97. Prime factorization of 3298 in exponential form is:

3298 = 2¹ × 17¹ × 97¹

Step-3: Factors of 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1, 2, 11, 22, 149, 298, 1639

Step-4: Factors of 3298

List of positive integer factors of 3298 that divides 3278 without a remainder.

1, 2, 17, 34, 97, 194, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3278 and 3298. The biggest common factor number is the GCF number.
So the greatest common factor 3278 and 3298 is 2.

Also check out the Least Common Multiple of 3278 and 3298