What is the Greatest Common Factor of 33096 and 33114?

Greatest common factor (GCF) of 33096 and 33114 is 6.

GCF(33096,33114) = 6

We will now calculate the prime factors of 33096 and 33114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33096 and 33114.

How to find the GCF of 33096 and 33114?

We will first find the prime factorization of 33096 and 33114. After we will calculate the factors of 33096 and 33114 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33114

Prime factors of 33114 are 2, 3, 5519. Prime factorization of 33114 in exponential form is:

33114 = 2¹ × 3¹ × 5519¹

Step-3: Factors of 33096

List of positive integer factors of 33096 that divides 33096 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

Step-4: Factors of 33114

List of positive integer factors of 33114 that divides 33096 without a remainder.

1, 2, 3, 6, 5519, 11038, 16557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33096 and 33114. The biggest common factor number is the GCF number.
So the greatest common factor 33096 and 33114 is 6.

Also check out the Least Common Multiple of 33096 and 33114