What is the Greatest Common Factor of 33079 and 33096?

Greatest common factor (GCF) of 33079 and 33096 is 1.

GCF(33079,33096) = 1

We will now calculate the prime factors of 33079 and 33096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33079 and 33096.

How to find the GCF of 33079 and 33096?

We will first find the prime factorization of 33079 and 33096. After we will calculate the factors of 33079 and 33096 and find the biggest common factor number .

Step-1: Prime Factorization of 33079

Prime factors of 33079 are 19, 1741. Prime factorization of 33079 in exponential form is:

33079 = 19¹ × 1741¹

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 33079

List of positive integer factors of 33079 that divides 33079 without a remainder.

1, 19, 1741

Step-4: Factors of 33096

List of positive integer factors of 33096 that divides 33079 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 33079 and 33096. The biggest common factor number is the GCF number.
So the greatest common factor 33079 and 33096 is 1.

Also check out the Least Common Multiple of 33079 and 33096