What is the Greatest Common Factor of 33160 and 33166?

Greatest common factor (GCF) of 33160 and 33166 is 2.

GCF(33160,33166) = 2

We will now calculate the prime factors of 33160 and 33166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33160 and 33166.

How to find the GCF of 33160 and 33166?

We will first find the prime factorization of 33160 and 33166. After we will calculate the factors of 33160 and 33166 and find the biggest common factor number .

Step-1: Prime Factorization of 33160

Prime factors of 33160 are 2, 5, 829. Prime factorization of 33160 in exponential form is:

33160 = 2³ × 5¹ × 829¹

Step-2: Prime Factorization of 33166

Prime factors of 33166 are 2, 7, 23, 103. Prime factorization of 33166 in exponential form is:

33166 = 2¹ × 7¹ × 23¹ × 103¹

Step-3: Factors of 33160

List of positive integer factors of 33160 that divides 33160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580

Step-4: Factors of 33166

List of positive integer factors of 33166 that divides 33160 without a remainder.

1, 2, 7, 14, 23, 46, 103, 161, 206, 322, 721, 1442, 2369, 4738, 16583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33160 and 33166. The biggest common factor number is the GCF number.
So the greatest common factor 33160 and 33166 is 2.

Also check out the Least Common Multiple of 33160 and 33166