What is the Greatest Common Factor of 82407 and 82425?

Greatest common factor (GCF) of 82407 and 82425 is 3.

GCF(82407,82425) = 3

We will now calculate the prime factors of 82407 and 82425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82407 and 82425.

How to find the GCF of 82407 and 82425?

We will first find the prime factorization of 82407 and 82425. After we will calculate the factors of 82407 and 82425 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82425

Prime factors of 82425 are 3, 5, 7, 157. Prime factorization of 82425 in exponential form is:

82425 = 3¹ × 5² × 7¹ × 157¹

Step-3: Factors of 82407

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

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

Step-4: Factors of 82425

List of positive integer factors of 82425 that divides 82407 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 157, 175, 471, 525, 785, 1099, 2355, 3297, 3925, 5495, 11775, 16485, 27475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82407 and 82425. The biggest common factor number is the GCF number.
So the greatest common factor 82407 and 82425 is 3.

Also check out the Least Common Multiple of 82407 and 82425