What is the Greatest Common Factor of 3424 and 3443?

Greatest common factor (GCF) of 3424 and 3443 is 1.

GCF(3424,3443) = 1

We will now calculate the prime factors of 3424 and 3443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3424 and 3443.

How to find the GCF of 3424 and 3443?

We will first find the prime factorization of 3424 and 3443. After we will calculate the factors of 3424 and 3443 and find the biggest common factor number .

Step-1: Prime Factorization of 3424

Prime factors of 3424 are 2, 107. Prime factorization of 3424 in exponential form is:

3424 = 2⁵ × 107¹

Step-2: Prime Factorization of 3443

Prime factors of 3443 are 11, 313. Prime factorization of 3443 in exponential form is:

3443 = 11¹ × 313¹

Step-3: Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712

Step-4: Factors of 3443

List of positive integer factors of 3443 that divides 3424 without a remainder.

1, 11, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3424 and 3443. The biggest common factor number is the GCF number.
So the greatest common factor 3424 and 3443 is 1.

Also check out the Least Common Multiple of 3424 and 3443