What is the Greatest Common Factor of 82900 and 82905?

Greatest common factor (GCF) of 82900 and 82905 is 5.

GCF(82900,82905) = 5

We will now calculate the prime factors of 82900 and 82905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82900 and 82905.

How to find the GCF of 82900 and 82905?

We will first find the prime factorization of 82900 and 82905. After we will calculate the factors of 82900 and 82905 and find the biggest common factor number .

Step-1: Prime Factorization of 82900

Prime factors of 82900 are 2, 5, 829. Prime factorization of 82900 in exponential form is:

82900 = 2² × 5² × 829¹

Step-2: Prime Factorization of 82905

Prime factors of 82905 are 3, 5, 5527. Prime factorization of 82905 in exponential form is:

82905 = 3¹ × 5¹ × 5527¹

Step-3: Factors of 82900

List of positive integer factors of 82900 that divides 82900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 829, 1658, 3316, 4145, 8290, 16580, 20725, 41450

Step-4: Factors of 82905

List of positive integer factors of 82905 that divides 82900 without a remainder.

1, 3, 5, 15, 5527, 16581, 27635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82900 and 82905. The biggest common factor number is the GCF number.
So the greatest common factor 82900 and 82905 is 5.

Also check out the Least Common Multiple of 82900 and 82905