What is the Greatest Common Factor of 8409 and 8415?

Greatest common factor (GCF) of 8409 and 8415 is 3.

GCF(8409,8415) = 3

We will now calculate the prime factors of 8409 and 8415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8409 and 8415.

How to find the GCF of 8409 and 8415?

We will first find the prime factorization of 8409 and 8415. After we will calculate the factors of 8409 and 8415 and find the biggest common factor number .

Step-1: Prime Factorization of 8409

Prime factors of 8409 are 3, 2803. Prime factorization of 8409 in exponential form is:

8409 = 3¹ × 2803¹

Step-2: Prime Factorization of 8415

Prime factors of 8415 are 3, 5, 11, 17. Prime factorization of 8415 in exponential form is:

8415 = 3² × 5¹ × 11¹ × 17¹

Step-3: Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1, 3, 2803

Step-4: Factors of 8415

List of positive integer factors of 8415 that divides 8409 without a remainder.

1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8409 and 8415. The biggest common factor number is the GCF number.
So the greatest common factor 8409 and 8415 is 3.

Also check out the Least Common Multiple of 8409 and 8415