What is the Greatest Common Factor of 83067 and 83085?

Greatest common factor (GCF) of 83067 and 83085 is 3.

GCF(83067,83085) = 3

We will now calculate the prime factors of 83067 and 83085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83067 and 83085.

How to find the GCF of 83067 and 83085?

We will first find the prime factorization of 83067 and 83085. After we will calculate the factors of 83067 and 83085 and find the biggest common factor number .

Step-1: Prime Factorization of 83067

Prime factors of 83067 are 3, 27689. Prime factorization of 83067 in exponential form is:

83067 = 3¹ × 27689¹

Step-2: 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-3: Factors of 83067

List of positive integer factors of 83067 that divides 83067 without a remainder.

1, 3, 27689

Step-4: Factors of 83085

List of positive integer factors of 83085 that divides 83067 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83067 and 83085. The biggest common factor number is the GCF number.
So the greatest common factor 83067 and 83085 is 3.

Also check out the Least Common Multiple of 83067 and 83085