What is the Greatest Common Factor of 33449 and 33462?

Greatest common factor (GCF) of 33449 and 33462 is 13.

GCF(33449,33462) = 13

We will now calculate the prime factors of 33449 and 33462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33449 and 33462.

How to find the GCF of 33449 and 33462?

We will first find the prime factorization of 33449 and 33462. After we will calculate the factors of 33449 and 33462 and find the biggest common factor number .

Step-1: Prime Factorization of 33449

Prime factors of 33449 are 13, 31, 83. Prime factorization of 33449 in exponential form is:

33449 = 13¹ × 31¹ × 83¹

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 33449

List of positive integer factors of 33449 that divides 33449 without a remainder.

1, 13, 31, 83, 403, 1079, 2573

Step-4: Factors of 33462

List of positive integer factors of 33462 that divides 33449 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 33449 and 33462. The biggest common factor number is the GCF number.
So the greatest common factor 33449 and 33462 is 13.

Also check out the Least Common Multiple of 33449 and 33462