What is the Greatest Common Factor of 33028 and 33034?

Greatest common factor (GCF) of 33028 and 33034 is 2.

GCF(33028,33034) = 2

We will now calculate the prime factors of 33028 and 33034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33028 and 33034.

How to find the GCF of 33028 and 33034?

We will first find the prime factorization of 33028 and 33034. After we will calculate the factors of 33028 and 33034 and find the biggest common factor number .

Step-1: Prime Factorization of 33028

Prime factors of 33028 are 2, 23, 359. Prime factorization of 33028 in exponential form is:

33028 = 2² × 23¹ × 359¹

Step-2: 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-3: Factors of 33028

List of positive integer factors of 33028 that divides 33028 without a remainder.

1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514

Step-4: Factors of 33034

List of positive integer factors of 33034 that divides 33028 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33028 and 33034. The biggest common factor number is the GCF number.
So the greatest common factor 33028 and 33034 is 2.

Also check out the Least Common Multiple of 33028 and 33034