What is the Greatest Common Factor of 3444 and 3449?

Greatest common factor (GCF) of 3444 and 3449 is 1.

GCF(3444,3449) = 1

We will now calculate the prime factors of 3444 and 3449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3444 and 3449.

How to find the GCF of 3444 and 3449?

We will first find the prime factorization of 3444 and 3449. After we will calculate the factors of 3444 and 3449 and find the biggest common factor number .

Step-1: Prime Factorization of 3444

Prime factors of 3444 are 2, 3, 7, 41. Prime factorization of 3444 in exponential form is:

3444 = 2² × 3¹ × 7¹ × 41¹

Step-2: Prime Factorization of 3449

Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:

3449 = 3449¹

Step-3: Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722

Step-4: Factors of 3449

List of positive integer factors of 3449 that divides 3444 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3444 and 3449. The biggest common factor number is the GCF number.
So the greatest common factor 3444 and 3449 is 1.

Also check out the Least Common Multiple of 3444 and 3449