What is the Greatest Common Factor of 3342 and 3362?

Greatest common factor (GCF) of 3342 and 3362 is 2.

GCF(3342,3362) = 2

We will now calculate the prime factors of 3342 and 3362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3342 and 3362.

How to find the GCF of 3342 and 3362?

We will first find the prime factorization of 3342 and 3362. After we will calculate the factors of 3342 and 3362 and find the biggest common factor number .

Step-1: Prime Factorization of 3342

Prime factors of 3342 are 2, 3, 557. Prime factorization of 3342 in exponential form is:

3342 = 2¹ × 3¹ × 557¹

Step-2: Prime Factorization of 3362

Prime factors of 3362 are 2, 41. Prime factorization of 3362 in exponential form is:

3362 = 2¹ × 41²

Step-3: Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1, 2, 3, 6, 557, 1114, 1671

Step-4: Factors of 3362

List of positive integer factors of 3362 that divides 3342 without a remainder.

1, 2, 41, 82, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3342 and 3362. The biggest common factor number is the GCF number.
So the greatest common factor 3342 and 3362 is 2.

Also check out the Least Common Multiple of 3342 and 3362