What is the Greatest Common Factor of 83055 and 83067?

Greatest common factor (GCF) of 83055 and 83067 is 3.

GCF(83055,83067) = 3

We will now calculate the prime factors of 83055 and 83067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83055 and 83067.

How to find the GCF of 83055 and 83067?

We will first find the prime factorization of 83055 and 83067. After we will calculate the factors of 83055 and 83067 and find the biggest common factor number .

Step-1: Prime Factorization of 83055

Prime factors of 83055 are 3, 5, 7, 113. Prime factorization of 83055 in exponential form is:

83055 = 3¹ × 5¹ × 7² × 113¹

Step-2: Prime Factorization of 83067

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

83067 = 3¹ × 27689¹

Step-3: Factors of 83055

List of positive integer factors of 83055 that divides 83055 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 113, 147, 245, 339, 565, 735, 791, 1695, 2373, 3955, 5537, 11865, 16611, 27685

Step-4: Factors of 83067

List of positive integer factors of 83067 that divides 83055 without a remainder.

1, 3, 27689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83055 and 83067. The biggest common factor number is the GCF number.
So the greatest common factor 83055 and 83067 is 3.

Also check out the Least Common Multiple of 83055 and 83067