What is the Greatest Common Factor of 82845 and 82865?

Greatest common factor (GCF) of 82845 and 82865 is 5.

GCF(82845,82865) = 5

We will now calculate the prime factors of 82845 and 82865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82845 and 82865.

How to find the GCF of 82845 and 82865?

We will first find the prime factorization of 82845 and 82865. After we will calculate the factors of 82845 and 82865 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 82865

Prime factors of 82865 are 5, 16573. Prime factorization of 82865 in exponential form is:

82865 = 5¹ × 16573¹

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 82865

List of positive integer factors of 82865 that divides 82845 without a remainder.

1, 5, 16573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82845 and 82865. The biggest common factor number is the GCF number.
So the greatest common factor 82845 and 82865 is 5.

Also check out the Least Common Multiple of 82845 and 82865