What is the Greatest Common Factor of 33292 and 33298?

Greatest common factor (GCF) of 33292 and 33298 is 2.

GCF(33292,33298) = 2

We will now calculate the prime factors of 33292 and 33298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33292 and 33298.

How to find the GCF of 33292 and 33298?

We will first find the prime factorization of 33292 and 33298. After we will calculate the factors of 33292 and 33298 and find the biggest common factor number .

Step-1: Prime Factorization of 33292

Prime factors of 33292 are 2, 7, 29, 41. Prime factorization of 33292 in exponential form is:

33292 = 2² × 7¹ × 29¹ × 41¹

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 33292

List of positive integer factors of 33292 that divides 33292 without a remainder.

1, 2, 4, 7, 14, 28, 29, 41, 58, 82, 116, 164, 203, 287, 406, 574, 812, 1148, 1189, 2378, 4756, 8323, 16646

Step-4: Factors of 33298

List of positive integer factors of 33298 that divides 33292 without a remainder.

1, 2, 16649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33292 and 33298. The biggest common factor number is the GCF number.
So the greatest common factor 33292 and 33298 is 2.

Also check out the Least Common Multiple of 33292 and 33298