What is the Greatest Common Factor of 33061 and 33075?

Greatest common factor (GCF) of 33061 and 33075 is 7.

GCF(33061,33075) = 7

We will now calculate the prime factors of 33061 and 33075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33061 and 33075.

How to find the GCF of 33061 and 33075?

We will first find the prime factorization of 33061 and 33075. After we will calculate the factors of 33061 and 33075 and find the biggest common factor number .

Step-1: Prime Factorization of 33061

Prime factors of 33061 are 7, 4723. Prime factorization of 33061 in exponential form is:

33061 = 7¹ × 4723¹

Step-2: 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-3: Factors of 33061

List of positive integer factors of 33061 that divides 33061 without a remainder.

1, 7, 4723

Step-4: Factors of 33075

List of positive integer factors of 33075 that divides 33061 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33061 and 33075. The biggest common factor number is the GCF number.
So the greatest common factor 33061 and 33075 is 7.

Also check out the Least Common Multiple of 33061 and 33075