What is the Greatest Common Factor of 33153 and 33171?

Greatest common factor (GCF) of 33153 and 33171 is 3.

GCF(33153,33171) = 3

We will now calculate the prime factors of 33153 and 33171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33153 and 33171.

How to find the GCF of 33153 and 33171?

We will first find the prime factorization of 33153 and 33171. After we will calculate the factors of 33153 and 33171 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 33171

Prime factors of 33171 are 3, 11057. Prime factorization of 33171 in exponential form is:

33171 = 3¹ × 11057¹

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 33171

List of positive integer factors of 33171 that divides 33153 without a remainder.

1, 3, 11057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33153 and 33171. The biggest common factor number is the GCF number.
So the greatest common factor 33153 and 33171 is 3.

Also check out the Least Common Multiple of 33153 and 33171