What is the Greatest Common Factor of 33075 and 33080?

Greatest common factor (GCF) of 33075 and 33080 is 5.

GCF(33075,33080) = 5

We will now calculate the prime factors of 33075 and 33080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33075 and 33080.

How to find the GCF of 33075 and 33080?

We will first find the prime factorization of 33075 and 33080. After we will calculate the factors of 33075 and 33080 and find the biggest common factor number .

Step-1: Prime Factorization of 33075

Prime factors of 33075 are 3, 5, 7. Prime factorization of 33075 in exponential form is:

33075 = 3³ × 5² × 7²

Step-2: Prime Factorization of 33080

Prime factors of 33080 are 2, 5, 827. Prime factorization of 33080 in exponential form is:

33080 = 2³ × 5¹ × 827¹

Step-3: Factors of 33075

List of positive integer factors of 33075 that divides 33075 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 105, 135, 147, 175, 189, 225, 245, 315, 441, 525, 675, 735, 945, 1225, 1323, 1575, 2205, 3675, 4725, 6615, 11025

Step-4: Factors of 33080

List of positive integer factors of 33080 that divides 33075 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 827, 1654, 3308, 4135, 6616, 8270, 16540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33075 and 33080. The biggest common factor number is the GCF number.
So the greatest common factor 33075 and 33080 is 5.

Also check out the Least Common Multiple of 33075 and 33080