What is the Greatest Common Factor of 82346 and 82357?

Greatest common factor (GCF) of 82346 and 82357 is 11.

GCF(82346,82357) = 11

We will now calculate the prime factors of 82346 and 82357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82346 and 82357.

How to find the GCF of 82346 and 82357?

We will first find the prime factorization of 82346 and 82357. After we will calculate the factors of 82346 and 82357 and find the biggest common factor number .

Step-1: Prime Factorization of 82346

Prime factors of 82346 are 2, 11, 19, 197. Prime factorization of 82346 in exponential form is:

82346 = 2¹ × 11¹ × 19¹ × 197¹

Step-2: Prime Factorization of 82357

Prime factors of 82357 are 11, 7487. Prime factorization of 82357 in exponential form is:

82357 = 11¹ × 7487¹

Step-3: Factors of 82346

List of positive integer factors of 82346 that divides 82346 without a remainder.

1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173

Step-4: Factors of 82357

List of positive integer factors of 82357 that divides 82346 without a remainder.

1, 11, 7487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82346 and 82357. The biggest common factor number is the GCF number.
So the greatest common factor 82346 and 82357 is 11.

Also check out the Least Common Multiple of 82346 and 82357