What is the Greatest Common Factor of 82945 and 82957?

Greatest common factor (GCF) of 82945 and 82957 is 1.

GCF(82945,82957) = 1

We will now calculate the prime factors of 82945 and 82957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82945 and 82957.

How to find the GCF of 82945 and 82957?

We will first find the prime factorization of 82945 and 82957. After we will calculate the factors of 82945 and 82957 and find the biggest common factor number .

Step-1: Prime Factorization of 82945

Prime factors of 82945 are 5, 53, 313. Prime factorization of 82945 in exponential form is:

82945 = 5¹ × 53¹ × 313¹

Step-2: Prime Factorization of 82957

Prime factors of 82957 are 7, 1693. Prime factorization of 82957 in exponential form is:

82957 = 7² × 1693¹

Step-3: Factors of 82945

List of positive integer factors of 82945 that divides 82945 without a remainder.

1, 5, 53, 265, 313, 1565, 16589

Step-4: Factors of 82957

List of positive integer factors of 82957 that divides 82945 without a remainder.

1, 7, 49, 1693, 11851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82945 and 82957. The biggest common factor number is the GCF number.
So the greatest common factor 82945 and 82957 is 1.

Also check out the Least Common Multiple of 82945 and 82957