What is the Greatest Common Factor of 82845 and 82861?

Greatest common factor (GCF) of 82845 and 82861 is 1.

GCF(82845,82861) = 1

We will now calculate the prime factors of 82845 and 82861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82845 and 82861.

How to find the GCF of 82845 and 82861?

We will first find the prime factorization of 82845 and 82861. After we will calculate the factors of 82845 and 82861 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82861

Prime factors of 82861 are 41, 43, 47. Prime factorization of 82861 in exponential form is:

82861 = 41¹ × 43¹ × 47¹

Step-3: Factors of 82845

List of positive integer factors of 82845 that divides 82845 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

Step-4: Factors of 82861

List of positive integer factors of 82861 that divides 82845 without a remainder.

1, 41, 43, 47, 1763, 1927, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82845 and 82861. The biggest common factor number is the GCF number.
So the greatest common factor 82845 and 82861 is 1.

Also check out the Least Common Multiple of 82845 and 82861