What is the Greatest Common Factor of 3382 and 3388?

Greatest common factor (GCF) of 3382 and 3388 is 2.

GCF(3382,3388) = 2

We will now calculate the prime factors of 3382 and 3388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3382 and 3388.

How to find the GCF of 3382 and 3388?

We will first find the prime factorization of 3382 and 3388. After we will calculate the factors of 3382 and 3388 and find the biggest common factor number .

Step-1: Prime Factorization of 3382

Prime factors of 3382 are 2, 19, 89. Prime factorization of 3382 in exponential form is:

3382 = 2¹ × 19¹ × 89¹

Step-2: Prime Factorization of 3388

Prime factors of 3388 are 2, 7, 11. Prime factorization of 3388 in exponential form is:

3388 = 2² × 7¹ × 11²

Step-3: Factors of 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1, 2, 19, 38, 89, 178, 1691

Step-4: Factors of 3388

List of positive integer factors of 3388 that divides 3382 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3382 and 3388. The biggest common factor number is the GCF number.
So the greatest common factor 3382 and 3388 is 2.

Also check out the Least Common Multiple of 3382 and 3388