What is the Greatest Common Factor of 83022 and 83037?

Greatest common factor (GCF) of 83022 and 83037 is 3.

GCF(83022,83037) = 3

We will now calculate the prime factors of 83022 and 83037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83022 and 83037.

How to find the GCF of 83022 and 83037?

We will first find the prime factorization of 83022 and 83037. After we will calculate the factors of 83022 and 83037 and find the biggest common factor number .

Step-1: Prime Factorization of 83022

Prime factors of 83022 are 2, 3, 101, 137. Prime factorization of 83022 in exponential form is:

83022 = 2¹ × 3¹ × 101¹ × 137¹

Step-2: 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-3: Factors of 83022

List of positive integer factors of 83022 that divides 83022 without a remainder.

1, 2, 3, 6, 101, 137, 202, 274, 303, 411, 606, 822, 13837, 27674, 41511

Step-4: Factors of 83037

List of positive integer factors of 83037 that divides 83022 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83022 and 83037. The biggest common factor number is the GCF number.
So the greatest common factor 83022 and 83037 is 3.

Also check out the Least Common Multiple of 83022 and 83037