What is the Greatest Common Factor of 3382 and 3401?

Greatest common factor (GCF) of 3382 and 3401 is 19.

GCF(3382,3401) = 19

We will now calculate the prime factors of 3382 and 3401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3382 and 3401.

How to find the GCF of 3382 and 3401?

We will first find the prime factorization of 3382 and 3401. After we will calculate the factors of 3382 and 3401 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 3401

Prime factors of 3401 are 19, 179. Prime factorization of 3401 in exponential form is:

3401 = 19¹ × 179¹

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 3401

List of positive integer factors of 3401 that divides 3382 without a remainder.

1, 19, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3382 and 3401. The biggest common factor number is the GCF number.
So the greatest common factor 3382 and 3401 is 19.

Also check out the Least Common Multiple of 3382 and 3401