What is the Greatest Common Factor of 33150 and 33168?

Greatest common factor (GCF) of 33150 and 33168 is 6.

GCF(33150,33168) = 6

We will now calculate the prime factors of 33150 and 33168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33150 and 33168.

How to find the GCF of 33150 and 33168?

We will first find the prime factorization of 33150 and 33168. After we will calculate the factors of 33150 and 33168 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 33168

Prime factors of 33168 are 2, 3, 691. Prime factorization of 33168 in exponential form is:

33168 = 2⁴ × 3¹ × 691¹

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 33168

List of positive integer factors of 33168 that divides 33150 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33150 and 33168. The biggest common factor number is the GCF number.
So the greatest common factor 33150 and 33168 is 6.

Also check out the Least Common Multiple of 33150 and 33168