What is the Greatest Common Factor of 33144 and 33163?

Greatest common factor (GCF) of 33144 and 33163 is 1.

GCF(33144,33163) = 1

We will now calculate the prime factors of 33144 and 33163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33144 and 33163.

How to find the GCF of 33144 and 33163?

We will first find the prime factorization of 33144 and 33163. After we will calculate the factors of 33144 and 33163 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 33163

Prime factors of 33163 are 13, 2551. Prime factorization of 33163 in exponential form is:

33163 = 13¹ × 2551¹

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 33163

List of positive integer factors of 33163 that divides 33144 without a remainder.

1, 13, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33144 and 33163. The biggest common factor number is the GCF number.
So the greatest common factor 33144 and 33163 is 1.

Also check out the Least Common Multiple of 33144 and 33163