What is the Greatest Common Factor of 82395 and 82407?

Greatest common factor (GCF) of 82395 and 82407 is 3.

GCF(82395,82407) = 3

We will now calculate the prime factors of 82395 and 82407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82395 and 82407.

How to find the GCF of 82395 and 82407?

We will first find the prime factorization of 82395 and 82407. After we will calculate the factors of 82395 and 82407 and find the biggest common factor number .

Step-1: Prime Factorization of 82395

Prime factors of 82395 are 3, 5, 1831. Prime factorization of 82395 in exponential form is:

82395 = 3² × 5¹ × 1831¹

Step-2: Prime Factorization of 82407

Prime factors of 82407 are 3, 13, 2113. Prime factorization of 82407 in exponential form is:

82407 = 3¹ × 13¹ × 2113¹

Step-3: Factors of 82395

List of positive integer factors of 82395 that divides 82395 without a remainder.

1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465

Step-4: Factors of 82407

List of positive integer factors of 82407 that divides 82395 without a remainder.

1, 3, 13, 39, 2113, 6339, 27469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82395 and 82407. The biggest common factor number is the GCF number.
So the greatest common factor 82395 and 82407 is 3.

Also check out the Least Common Multiple of 82395 and 82407