What is the Greatest Common Factor of 33159 and 33177?

Greatest common factor (GCF) of 33159 and 33177 is 3.

GCF(33159,33177) = 3

We will now calculate the prime factors of 33159 and 33177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33159 and 33177.

How to find the GCF of 33159 and 33177?

We will first find the prime factorization of 33159 and 33177. After we will calculate the factors of 33159 and 33177 and find the biggest common factor number .

Step-1: Prime Factorization of 33159

Prime factors of 33159 are 3, 7, 1579. Prime factorization of 33159 in exponential form is:

33159 = 3¹ × 7¹ × 1579¹

Step-2: Prime Factorization of 33177

Prime factors of 33177 are 3, 11059. Prime factorization of 33177 in exponential form is:

33177 = 3¹ × 11059¹

Step-3: Factors of 33159

List of positive integer factors of 33159 that divides 33159 without a remainder.

1, 3, 7, 21, 1579, 4737, 11053

Step-4: Factors of 33177

List of positive integer factors of 33177 that divides 33159 without a remainder.

1, 3, 11059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33159 and 33177. The biggest common factor number is the GCF number.
So the greatest common factor 33159 and 33177 is 3.

Also check out the Least Common Multiple of 33159 and 33177