What is the Greatest Common Factor of 83007 and 83022?

Greatest common factor (GCF) of 83007 and 83022 is 3.

GCF(83007,83022) = 3

We will now calculate the prime factors of 83007 and 83022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83007 and 83022.

How to find the GCF of 83007 and 83022?

We will first find the prime factorization of 83007 and 83022. After we will calculate the factors of 83007 and 83022 and find the biggest common factor number .

Step-1: Prime Factorization of 83007

Prime factors of 83007 are 3, 23, 401. Prime factorization of 83007 in exponential form is:

83007 = 3² × 23¹ × 401¹

Step-2: 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-3: Factors of 83007

List of positive integer factors of 83007 that divides 83007 without a remainder.

1, 3, 9, 23, 69, 207, 401, 1203, 3609, 9223, 27669

Step-4: Factors of 83022

List of positive integer factors of 83022 that divides 83007 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83007 and 83022. The biggest common factor number is the GCF number.
So the greatest common factor 83007 and 83022 is 3.

Also check out the Least Common Multiple of 83007 and 83022