What is the Greatest Common Factor of 3322 and 3340?

Greatest common factor (GCF) of 3322 and 3340 is 2.

GCF(3322,3340) = 2

We will now calculate the prime factors of 3322 and 3340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3322 and 3340.

How to find the GCF of 3322 and 3340?

We will first find the prime factorization of 3322 and 3340. After we will calculate the factors of 3322 and 3340 and find the biggest common factor number .

Step-1: Prime Factorization of 3322

Prime factors of 3322 are 2, 11, 151. Prime factorization of 3322 in exponential form is:

3322 = 2¹ × 11¹ × 151¹

Step-2: Prime Factorization of 3340

Prime factors of 3340 are 2, 5, 167. Prime factorization of 3340 in exponential form is:

3340 = 2² × 5¹ × 167¹

Step-3: Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1, 2, 11, 22, 151, 302, 1661

Step-4: Factors of 3340

List of positive integer factors of 3340 that divides 3322 without a remainder.

1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3322 and 3340. The biggest common factor number is the GCF number.
So the greatest common factor 3322 and 3340 is 2.

Also check out the Least Common Multiple of 3322 and 3340