What is the Greatest Common Factor of 33150 and 33158?

Greatest common factor (GCF) of 33150 and 33158 is 2.

GCF(33150,33158) = 2

We will now calculate the prime factors of 33150 and 33158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33150 and 33158.

How to find the GCF of 33150 and 33158?

We will first find the prime factorization of 33150 and 33158. After we will calculate the factors of 33150 and 33158 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 33158

Prime factors of 33158 are 2, 59, 281. Prime factorization of 33158 in exponential form is:

33158 = 2¹ × 59¹ × 281¹

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 33158

List of positive integer factors of 33158 that divides 33150 without a remainder.

1, 2, 59, 118, 281, 562, 16579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33150 and 33158. The biggest common factor number is the GCF number.
So the greatest common factor 33150 and 33158 is 2.

Also check out the Least Common Multiple of 33150 and 33158