What is the Greatest Common Factor of 33163 and 33176?

Greatest common factor (GCF) of 33163 and 33176 is 13.

GCF(33163,33176) = 13

We will now calculate the prime factors of 33163 and 33176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33163 and 33176.

How to find the GCF of 33163 and 33176?

We will first find the prime factorization of 33163 and 33176. After we will calculate the factors of 33163 and 33176 and find the biggest common factor number .

Step-1: Prime Factorization of 33163

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

33163 = 13¹ × 2551¹

Step-2: Prime Factorization of 33176

Prime factors of 33176 are 2, 11, 13, 29. Prime factorization of 33176 in exponential form is:

33176 = 2³ × 11¹ × 13¹ × 29¹

Step-3: Factors of 33163

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

1, 13, 2551

Step-4: Factors of 33176

List of positive integer factors of 33176 that divides 33163 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 232, 286, 319, 377, 572, 638, 754, 1144, 1276, 1508, 2552, 3016, 4147, 8294, 16588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33163 and 33176. The biggest common factor number is the GCF number.
So the greatest common factor 33163 and 33176 is 13.

Also check out the Least Common Multiple of 33163 and 33176