What is the Greatest Common Factor of 33067 and 33085?

Greatest common factor (GCF) of 33067 and 33085 is 1.

GCF(33067,33085) = 1

We will now calculate the prime factors of 33067 and 33085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33067 and 33085.

How to find the GCF of 33067 and 33085?

We will first find the prime factorization of 33067 and 33085. After we will calculate the factors of 33067 and 33085 and find the biggest common factor number .

Step-1: Prime Factorization of 33067

Prime factors of 33067 are 43, 769. Prime factorization of 33067 in exponential form is:

33067 = 43¹ × 769¹

Step-2: Prime Factorization of 33085

Prime factors of 33085 are 5, 13, 509. Prime factorization of 33085 in exponential form is:

33085 = 5¹ × 13¹ × 509¹

Step-3: Factors of 33067

List of positive integer factors of 33067 that divides 33067 without a remainder.

1, 43, 769

Step-4: Factors of 33085

List of positive integer factors of 33085 that divides 33067 without a remainder.

1, 5, 13, 65, 509, 2545, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33067 and 33085. The biggest common factor number is the GCF number.
So the greatest common factor 33067 and 33085 is 1.

Also check out the Least Common Multiple of 33067 and 33085