What is the Greatest Common Factor of 82943 and 82952?

Greatest common factor (GCF) of 82943 and 82952 is 1.

GCF(82943,82952) = 1

We will now calculate the prime factors of 82943 and 82952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82943 and 82952.

How to find the GCF of 82943 and 82952?

We will first find the prime factorization of 82943 and 82952. After we will calculate the factors of 82943 and 82952 and find the biggest common factor number .

Step-1: Prime Factorization of 82943

Prime factors of 82943 are 7, 17, 41. Prime factorization of 82943 in exponential form is:

82943 = 7¹ × 17² × 41¹

Step-2: Prime Factorization of 82952

Prime factors of 82952 are 2, 10369. Prime factorization of 82952 in exponential form is:

82952 = 2³ × 10369¹

Step-3: Factors of 82943

List of positive integer factors of 82943 that divides 82943 without a remainder.

1, 7, 17, 41, 119, 287, 289, 697, 2023, 4879, 11849

Step-4: Factors of 82952

List of positive integer factors of 82952 that divides 82943 without a remainder.

1, 2, 4, 8, 10369, 20738, 41476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82943 and 82952. The biggest common factor number is the GCF number.
So the greatest common factor 82943 and 82952 is 1.

Also check out the Least Common Multiple of 82943 and 82952