What is the Greatest Common Factor of 83037 and 83043?

Greatest common factor (GCF) of 83037 and 83043 is 3.

GCF(83037,83043) = 3

We will now calculate the prime factors of 83037 and 83043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83037 and 83043.

How to find the GCF of 83037 and 83043?

We will first find the prime factorization of 83037 and 83043. After we will calculate the factors of 83037 and 83043 and find the biggest common factor number .

Step-1: Prime Factorization of 83037

Prime factors of 83037 are 3, 89, 311. Prime factorization of 83037 in exponential form is:

83037 = 3¹ × 89¹ × 311¹

Step-2: Prime Factorization of 83043

Prime factors of 83043 are 3, 9227. Prime factorization of 83043 in exponential form is:

83043 = 3² × 9227¹

Step-3: Factors of 83037

List of positive integer factors of 83037 that divides 83037 without a remainder.

1, 3, 89, 267, 311, 933, 27679

Step-4: Factors of 83043

List of positive integer factors of 83043 that divides 83037 without a remainder.

1, 3, 9, 9227, 27681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83037 and 83043. The biggest common factor number is the GCF number.
So the greatest common factor 83037 and 83043 is 3.

Also check out the Least Common Multiple of 83037 and 83043