What is the Greatest Common Factor of 33444 and 33462?

Greatest common factor (GCF) of 33444 and 33462 is 18.

GCF(33444,33462) = 18

We will now calculate the prime factors of 33444 and 33462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33444 and 33462.

How to find the GCF of 33444 and 33462?

We will first find the prime factorization of 33444 and 33462. After we will calculate the factors of 33444 and 33462 and find the biggest common factor number .

Step-1: Prime Factorization of 33444

Prime factors of 33444 are 2, 3, 929. Prime factorization of 33444 in exponential form is:

33444 = 2² × 3² × 929¹

Step-2: Prime Factorization of 33462

Prime factors of 33462 are 2, 3, 11, 13. Prime factorization of 33462 in exponential form is:

33462 = 2¹ × 3² × 11¹ × 13²

Step-3: Factors of 33444

List of positive integer factors of 33444 that divides 33444 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 929, 1858, 2787, 3716, 5574, 8361, 11148, 16722

Step-4: Factors of 33462

List of positive integer factors of 33462 that divides 33444 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 169, 198, 234, 286, 338, 429, 507, 858, 1014, 1287, 1521, 1859, 2574, 3042, 3718, 5577, 11154, 16731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33444 and 33462. The biggest common factor number is the GCF number.
So the greatest common factor 33444 and 33462 is 18.

Also check out the Least Common Multiple of 33444 and 33462