What is the Greatest Common Factor of 33085 and 33098?

Greatest common factor (GCF) of 33085 and 33098 is 13.

GCF(33085,33098) = 13

We will now calculate the prime factors of 33085 and 33098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33085 and 33098.

How to find the GCF of 33085 and 33098?

We will first find the prime factorization of 33085 and 33098. After we will calculate the factors of 33085 and 33098 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33098

Prime factors of 33098 are 2, 13, 19, 67. Prime factorization of 33098 in exponential form is:

33098 = 2¹ × 13¹ × 19¹ × 67¹

Step-3: Factors of 33085

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

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

Step-4: Factors of 33098

List of positive integer factors of 33098 that divides 33085 without a remainder.

1, 2, 13, 19, 26, 38, 67, 134, 247, 494, 871, 1273, 1742, 2546, 16549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33085 and 33098. The biggest common factor number is the GCF number.
So the greatest common factor 33085 and 33098 is 13.

Also check out the Least Common Multiple of 33085 and 33098