What is the Greatest Common Factor of 82300 and 82310?

Greatest common factor (GCF) of 82300 and 82310 is 10.

GCF(82300,82310) = 10

We will now calculate the prime factors of 82300 and 82310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82300 and 82310.

How to find the GCF of 82300 and 82310?

We will first find the prime factorization of 82300 and 82310. After we will calculate the factors of 82300 and 82310 and find the biggest common factor number .

Step-1: Prime Factorization of 82300

Prime factors of 82300 are 2, 5, 823. Prime factorization of 82300 in exponential form is:

82300 = 2² × 5² × 823¹

Step-2: Prime Factorization of 82310

Prime factors of 82310 are 2, 5, 8231. Prime factorization of 82310 in exponential form is:

82310 = 2¹ × 5¹ × 8231¹

Step-3: Factors of 82300

List of positive integer factors of 82300 that divides 82300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 823, 1646, 3292, 4115, 8230, 16460, 20575, 41150

Step-4: Factors of 82310

List of positive integer factors of 82310 that divides 82300 without a remainder.

1, 2, 5, 10, 8231, 16462, 41155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82300 and 82310. The biggest common factor number is the GCF number.
So the greatest common factor 82300 and 82310 is 10.

Also check out the Least Common Multiple of 82300 and 82310