What is the Greatest Common Factor of 33055 and 33065?

Greatest common factor (GCF) of 33055 and 33065 is 5.

GCF(33055,33065) = 5

We will now calculate the prime factors of 33055 and 33065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33055 and 33065.

How to find the GCF of 33055 and 33065?

We will first find the prime factorization of 33055 and 33065. After we will calculate the factors of 33055 and 33065 and find the biggest common factor number .

Step-1: Prime Factorization of 33055

Prime factors of 33055 are 5, 11, 601. Prime factorization of 33055 in exponential form is:

33055 = 5¹ × 11¹ × 601¹

Step-2: Prime Factorization of 33065

Prime factors of 33065 are 5, 17, 389. Prime factorization of 33065 in exponential form is:

33065 = 5¹ × 17¹ × 389¹

Step-3: Factors of 33055

List of positive integer factors of 33055 that divides 33055 without a remainder.

1, 5, 11, 55, 601, 3005, 6611

Step-4: Factors of 33065

List of positive integer factors of 33065 that divides 33055 without a remainder.

1, 5, 17, 85, 389, 1945, 6613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33055 and 33065. The biggest common factor number is the GCF number.
So the greatest common factor 33055 and 33065 is 5.

Also check out the Least Common Multiple of 33055 and 33065