What is the Greatest Common Factor of 33467 and 33478?

Greatest common factor (GCF) of 33467 and 33478 is 1.

GCF(33467,33478) = 1

We will now calculate the prime factors of 33467 and 33478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33467 and 33478.

How to find the GCF of 33467 and 33478?

We will first find the prime factorization of 33467 and 33478. After we will calculate the factors of 33467 and 33478 and find the biggest common factor number .

Step-1: Prime Factorization of 33467

Prime factors of 33467 are 7, 683. Prime factorization of 33467 in exponential form is:

33467 = 7² × 683¹

Step-2: Prime Factorization of 33478

Prime factors of 33478 are 2, 19, 881. Prime factorization of 33478 in exponential form is:

33478 = 2¹ × 19¹ × 881¹

Step-3: Factors of 33467

List of positive integer factors of 33467 that divides 33467 without a remainder.

1, 7, 49, 683, 4781

Step-4: Factors of 33478

List of positive integer factors of 33478 that divides 33467 without a remainder.

1, 2, 19, 38, 881, 1762, 16739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33467 and 33478. The biggest common factor number is the GCF number.
So the greatest common factor 33467 and 33478 is 1.

Also check out the Least Common Multiple of 33467 and 33478