What is the Greatest Common Factor of 82993 and 83007?

Greatest common factor (GCF) of 82993 and 83007 is 1.

GCF(82993,83007) = 1

We will now calculate the prime factors of 82993 and 83007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82993 and 83007.

How to find the GCF of 82993 and 83007?

We will first find the prime factorization of 82993 and 83007. After we will calculate the factors of 82993 and 83007 and find the biggest common factor number .

Step-1: Prime Factorization of 82993

Prime factors of 82993 are 149, 557. Prime factorization of 82993 in exponential form is:

82993 = 149¹ × 557¹

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 82993

List of positive integer factors of 82993 that divides 82993 without a remainder.

1, 149, 557

Step-4: Factors of 83007

List of positive integer factors of 83007 that divides 82993 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 82993 and 83007. The biggest common factor number is the GCF number.
So the greatest common factor 82993 and 83007 is 1.

Also check out the Least Common Multiple of 82993 and 83007