What is the Greatest Common Factor of 33144 and 33153?

Greatest common factor (GCF) of 33144 and 33153 is 3.

GCF(33144,33153) = 3

We will now calculate the prime factors of 33144 and 33153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33144 and 33153.

How to find the GCF of 33144 and 33153?

We will first find the prime factorization of 33144 and 33153. After we will calculate the factors of 33144 and 33153 and find the biggest common factor number .

Step-1: Prime Factorization of 33144

Prime factors of 33144 are 2, 3, 1381. Prime factorization of 33144 in exponential form is:

33144 = 2³ × 3¹ × 1381¹

Step-2: 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-3: Factors of 33144

List of positive integer factors of 33144 that divides 33144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1381, 2762, 4143, 5524, 8286, 11048, 16572

Step-4: Factors of 33153

List of positive integer factors of 33153 that divides 33144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33144 and 33153. The biggest common factor number is the GCF number.
So the greatest common factor 33144 and 33153 is 3.

Also check out the Least Common Multiple of 33144 and 33153