What is the Greatest Common Factor of 33092 and 33096?

Greatest common factor (GCF) of 33092 and 33096 is 4.

GCF(33092,33096) = 4

We will now calculate the prime factors of 33092 and 33096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33092 and 33096.

How to find the GCF of 33092 and 33096?

We will first find the prime factorization of 33092 and 33096. After we will calculate the factors of 33092 and 33096 and find the biggest common factor number .

Step-1: Prime Factorization of 33092

Prime factors of 33092 are 2, 8273. Prime factorization of 33092 in exponential form is:

33092 = 2² × 8273¹

Step-2: Prime Factorization of 33096

Prime factors of 33096 are 2, 3, 7, 197. Prime factorization of 33096 in exponential form is:

33096 = 2³ × 3¹ × 7¹ × 197¹

Step-3: Factors of 33092

List of positive integer factors of 33092 that divides 33092 without a remainder.

1, 2, 4, 8273, 16546

Step-4: Factors of 33096

List of positive integer factors of 33096 that divides 33092 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 197, 394, 591, 788, 1182, 1379, 1576, 2364, 2758, 4137, 4728, 5516, 8274, 11032, 16548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33092 and 33096. The biggest common factor number is the GCF number.
So the greatest common factor 33092 and 33096 is 4.

Also check out the Least Common Multiple of 33092 and 33096