What is the Greatest Common Factor of 82497 and 82515?

Greatest common factor (GCF) of 82497 and 82515 is 3.

GCF(82497,82515) = 3

We will now calculate the prime factors of 82497 and 82515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82497 and 82515.

How to find the GCF of 82497 and 82515?

We will first find the prime factorization of 82497 and 82515. After we will calculate the factors of 82497 and 82515 and find the biggest common factor number .

Step-1: Prime Factorization of 82497

Prime factors of 82497 are 3, 107, 257. Prime factorization of 82497 in exponential form is:

82497 = 3¹ × 107¹ × 257¹

Step-2: Prime Factorization of 82515

Prime factors of 82515 are 3, 5, 5501. Prime factorization of 82515 in exponential form is:

82515 = 3¹ × 5¹ × 5501¹

Step-3: Factors of 82497

List of positive integer factors of 82497 that divides 82497 without a remainder.

1, 3, 107, 257, 321, 771, 27499

Step-4: Factors of 82515

List of positive integer factors of 82515 that divides 82497 without a remainder.

1, 3, 5, 15, 5501, 16503, 27505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82497 and 82515. The biggest common factor number is the GCF number.
So the greatest common factor 82497 and 82515 is 3.

Also check out the Least Common Multiple of 82497 and 82515