What is the Greatest Common Factor of 82834 and 82845?

Greatest common factor (GCF) of 82834 and 82845 is 1.

GCF(82834,82845) = 1

We will now calculate the prime factors of 82834 and 82845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82834 and 82845.

How to find the GCF of 82834 and 82845?

We will first find the prime factorization of 82834 and 82845. After we will calculate the factors of 82834 and 82845 and find the biggest common factor number .

Step-1: Prime Factorization of 82834

Prime factors of 82834 are 2, 83, 499. Prime factorization of 82834 in exponential form is:

82834 = 2¹ × 83¹ × 499¹

Step-2: Prime Factorization of 82845

Prime factors of 82845 are 3, 5, 7, 263. Prime factorization of 82845 in exponential form is:

82845 = 3² × 5¹ × 7¹ × 263¹

Step-3: Factors of 82834

List of positive integer factors of 82834 that divides 82834 without a remainder.

1, 2, 83, 166, 499, 998, 41417

Step-4: Factors of 82845

List of positive integer factors of 82845 that divides 82834 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 263, 315, 789, 1315, 1841, 2367, 3945, 5523, 9205, 11835, 16569, 27615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82834 and 82845. The biggest common factor number is the GCF number.
So the greatest common factor 82834 and 82845 is 1.

Also check out the Least Common Multiple of 82834 and 82845