What is the Greatest Common Factor of 83085 and 83094?

Greatest common factor (GCF) of 83085 and 83094 is 3.

GCF(83085,83094) = 3

We will now calculate the prime factors of 83085 and 83094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83085 and 83094.

How to find the GCF of 83085 and 83094?

We will first find the prime factorization of 83085 and 83094. After we will calculate the factors of 83085 and 83094 and find the biggest common factor number .

Step-1: Prime Factorization of 83085

Prime factors of 83085 are 3, 5, 29, 191. Prime factorization of 83085 in exponential form is:

83085 = 3¹ × 5¹ × 29¹ × 191¹

Step-2: Prime Factorization of 83094

Prime factors of 83094 are 2, 3, 11, 1259. Prime factorization of 83094 in exponential form is:

83094 = 2¹ × 3¹ × 11¹ × 1259¹

Step-3: Factors of 83085

List of positive integer factors of 83085 that divides 83085 without a remainder.

1, 3, 5, 15, 29, 87, 145, 191, 435, 573, 955, 2865, 5539, 16617, 27695

Step-4: Factors of 83094

List of positive integer factors of 83094 that divides 83085 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1259, 2518, 3777, 7554, 13849, 27698, 41547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83085 and 83094. The biggest common factor number is the GCF number.
So the greatest common factor 83085 and 83094 is 3.

Also check out the Least Common Multiple of 83085 and 83094