What is the Greatest Common Factor of 33434 and 33454?

Greatest common factor (GCF) of 33434 and 33454 is 2.

GCF(33434,33454) = 2

We will now calculate the prime factors of 33434 and 33454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33434 and 33454.

How to find the GCF of 33434 and 33454?

We will first find the prime factorization of 33434 and 33454. After we will calculate the factors of 33434 and 33454 and find the biggest common factor number .

Step-1: Prime Factorization of 33434

Prime factors of 33434 are 2, 73, 229. Prime factorization of 33434 in exponential form is:

33434 = 2¹ × 73¹ × 229¹

Step-2: 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-3: Factors of 33434

List of positive integer factors of 33434 that divides 33434 without a remainder.

1, 2, 73, 146, 229, 458, 16717

Step-4: Factors of 33454

List of positive integer factors of 33454 that divides 33434 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33434 and 33454. The biggest common factor number is the GCF number.
So the greatest common factor 33434 and 33454 is 2.

Also check out the Least Common Multiple of 33434 and 33454