What is the Greatest Common Factor of 33034 and 33042?

Greatest common factor (GCF) of 33034 and 33042 is 2.

GCF(33034,33042) = 2

We will now calculate the prime factors of 33034 and 33042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33034 and 33042.

How to find the GCF of 33034 and 33042?

We will first find the prime factorization of 33034 and 33042. After we will calculate the factors of 33034 and 33042 and find the biggest common factor number .

Step-1: Prime Factorization of 33034

Prime factors of 33034 are 2, 83, 199. Prime factorization of 33034 in exponential form is:

33034 = 2¹ × 83¹ × 199¹

Step-2: Prime Factorization of 33042

Prime factors of 33042 are 2, 3, 5507. Prime factorization of 33042 in exponential form is:

33042 = 2¹ × 3¹ × 5507¹

Step-3: Factors of 33034

List of positive integer factors of 33034 that divides 33034 without a remainder.

1, 2, 83, 166, 199, 398, 16517

Step-4: Factors of 33042

List of positive integer factors of 33042 that divides 33034 without a remainder.

1, 2, 3, 6, 5507, 11014, 16521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33034 and 33042. The biggest common factor number is the GCF number.
So the greatest common factor 33034 and 33042 is 2.

Also check out the Least Common Multiple of 33034 and 33042