What is the Greatest Common Factor of 33454 and 33462?

Greatest common factor (GCF) of 33454 and 33462 is 2.

GCF(33454,33462) = 2

We will now calculate the prime factors of 33454 and 33462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33454 and 33462.

How to find the GCF of 33454 and 33462?

We will first find the prime factorization of 33454 and 33462. After we will calculate the factors of 33454 and 33462 and find the biggest common factor number .

Step-1: Prime Factorization of 33454

Prime factors of 33454 are 2, 43, 389. Prime factorization of 33454 in exponential form is:

33454 = 2¹ × 43¹ × 389¹

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 33454

List of positive integer factors of 33454 that divides 33454 without a remainder.

1, 2, 43, 86, 389, 778, 16727

Step-4: Factors of 33462

List of positive integer factors of 33462 that divides 33454 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 33454 and 33462. The biggest common factor number is the GCF number.
So the greatest common factor 33454 and 33462 is 2.

Also check out the Least Common Multiple of 33454 and 33462