What is the Greatest Common Factor of 83031 and 83044?

Greatest common factor (GCF) of 83031 and 83044 is 13.

GCF(83031,83044) = 13

We will now calculate the prime factors of 83031 and 83044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83031 and 83044.

How to find the GCF of 83031 and 83044?

We will first find the prime factorization of 83031 and 83044. After we will calculate the factors of 83031 and 83044 and find the biggest common factor number .

Step-1: Prime Factorization of 83031

Prime factors of 83031 are 3, 13, 2129. Prime factorization of 83031 in exponential form is:

83031 = 3¹ × 13¹ × 2129¹

Step-2: Prime Factorization of 83044

Prime factors of 83044 are 2, 13, 1597. Prime factorization of 83044 in exponential form is:

83044 = 2² × 13¹ × 1597¹

Step-3: Factors of 83031

List of positive integer factors of 83031 that divides 83031 without a remainder.

1, 3, 13, 39, 2129, 6387, 27677

Step-4: Factors of 83044

List of positive integer factors of 83044 that divides 83031 without a remainder.

1, 2, 4, 13, 26, 52, 1597, 3194, 6388, 20761, 41522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83031 and 83044. The biggest common factor number is the GCF number.
So the greatest common factor 83031 and 83044 is 13.

Also check out the Least Common Multiple of 83031 and 83044