What is the Greatest Common Factor of 82999 and 83007?

Greatest common factor (GCF) of 82999 and 83007 is 1.

GCF(82999,83007) = 1

We will now calculate the prime factors of 82999 and 83007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82999 and 83007.

How to find the GCF of 82999 and 83007?

We will first find the prime factorization of 82999 and 83007. After we will calculate the factors of 82999 and 83007 and find the biggest common factor number .

Step-1: Prime Factorization of 82999

Prime factors of 82999 are 7, 71, 167. Prime factorization of 82999 in exponential form is:

82999 = 7¹ × 71¹ × 167¹

Step-2: 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-3: Factors of 82999

List of positive integer factors of 82999 that divides 82999 without a remainder.

1, 7, 71, 167, 497, 1169, 11857

Step-4: Factors of 83007

List of positive integer factors of 83007 that divides 82999 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82999 and 83007. The biggest common factor number is the GCF number.
So the greatest common factor 82999 and 83007 is 1.

Also check out the Least Common Multiple of 82999 and 83007