What is the Greatest Common Factor of 3382 and 3397?

Greatest common factor (GCF) of 3382 and 3397 is 1.

GCF(3382,3397) = 1

We will now calculate the prime factors of 3382 and 3397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3382 and 3397.

How to find the GCF of 3382 and 3397?

We will first find the prime factorization of 3382 and 3397. After we will calculate the factors of 3382 and 3397 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 3397

Prime factors of 3397 are 43, 79. Prime factorization of 3397 in exponential form is:

3397 = 43¹ × 79¹

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 3397

List of positive integer factors of 3397 that divides 3382 without a remainder.

1, 43, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3382 and 3397. The biggest common factor number is the GCF number.
So the greatest common factor 3382 and 3397 is 1.

Also check out the Least Common Multiple of 3382 and 3397