What is the Greatest Common Factor of 33153 and 33159?

Greatest common factor (GCF) of 33153 and 33159 is 3.

GCF(33153,33159) = 3

We will now calculate the prime factors of 33153 and 33159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33153 and 33159.

How to find the GCF of 33153 and 33159?

We will first find the prime factorization of 33153 and 33159. After we will calculate the factors of 33153 and 33159 and find the biggest common factor number .

Step-1: Prime Factorization of 33153

Prime factors of 33153 are 3, 43, 257. Prime factorization of 33153 in exponential form is:

33153 = 3¹ × 43¹ × 257¹

Step-2: 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-3: Factors of 33153

List of positive integer factors of 33153 that divides 33153 without a remainder.

1, 3, 43, 129, 257, 771, 11051

Step-4: Factors of 33159

List of positive integer factors of 33159 that divides 33153 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33153 and 33159. The biggest common factor number is the GCF number.
So the greatest common factor 33153 and 33159 is 3.

Also check out the Least Common Multiple of 33153 and 33159