What is the Greatest Common Factor of 33150 and 33166?

Greatest common factor (GCF) of 33150 and 33166 is 2.

GCF(33150,33166) = 2

We will now calculate the prime factors of 33150 and 33166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33150 and 33166.

How to find the GCF of 33150 and 33166?

We will first find the prime factorization of 33150 and 33166. After we will calculate the factors of 33150 and 33166 and find the biggest common factor number .

Step-1: Prime Factorization of 33150

Prime factors of 33150 are 2, 3, 5, 13, 17. Prime factorization of 33150 in exponential form is:

33150 = 2¹ × 3¹ × 5² × 13¹ × 17¹

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 33150

List of positive integer factors of 33150 that divides 33150 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575

Step-4: Factors of 33166

List of positive integer factors of 33166 that divides 33150 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 33150 and 33166. The biggest common factor number is the GCF number.
So the greatest common factor 33150 and 33166 is 2.

Also check out the Least Common Multiple of 33150 and 33166