What is the Greatest Common Factor of 3444 and 3462?

Greatest common factor (GCF) of 3444 and 3462 is 6.

GCF(3444,3462) = 6

We will now calculate the prime factors of 3444 and 3462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3444 and 3462.

How to find the GCF of 3444 and 3462?

We will first find the prime factorization of 3444 and 3462. After we will calculate the factors of 3444 and 3462 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 3462

Prime factors of 3462 are 2, 3, 577. Prime factorization of 3462 in exponential form is:

3462 = 2¹ × 3¹ × 577¹

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 3462

List of positive integer factors of 3462 that divides 3444 without a remainder.

1, 2, 3, 6, 577, 1154, 1731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3444 and 3462. The biggest common factor number is the GCF number.
So the greatest common factor 3444 and 3462 is 6.

Also check out the Least Common Multiple of 3444 and 3462