What is the Greatest Common Factor of 33290 and 33298?

Greatest common factor (GCF) of 33290 and 33298 is 2.

GCF(33290,33298) = 2

We will now calculate the prime factors of 33290 and 33298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33290 and 33298.

How to find the GCF of 33290 and 33298?

We will first find the prime factorization of 33290 and 33298. After we will calculate the factors of 33290 and 33298 and find the biggest common factor number .

Step-1: Prime Factorization of 33290

Prime factors of 33290 are 2, 5, 3329. Prime factorization of 33290 in exponential form is:

33290 = 2¹ × 5¹ × 3329¹

Step-2: Prime Factorization of 33298

Prime factors of 33298 are 2, 16649. Prime factorization of 33298 in exponential form is:

33298 = 2¹ × 16649¹

Step-3: Factors of 33290

List of positive integer factors of 33290 that divides 33290 without a remainder.

1, 2, 5, 10, 3329, 6658, 16645

Step-4: Factors of 33298

List of positive integer factors of 33298 that divides 33290 without a remainder.

1, 2, 16649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33290 and 33298. The biggest common factor number is the GCF number.
So the greatest common factor 33290 and 33298 is 2.

Also check out the Least Common Multiple of 33290 and 33298