What is the Greatest Common Factor of 32409 and 32415?

Greatest common factor (GCF) of 32409 and 32415 is 3.

GCF(32409,32415) = 3

We will now calculate the prime factors of 32409 and 32415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32409 and 32415.

How to find the GCF of 32409 and 32415?

We will first find the prime factorization of 32409 and 32415. After we will calculate the factors of 32409 and 32415 and find the biggest common factor number .

Step-1: Prime Factorization of 32409

Prime factors of 32409 are 3, 13, 277. Prime factorization of 32409 in exponential form is:

32409 = 3² × 13¹ × 277¹

Step-2: Prime Factorization of 32415

Prime factors of 32415 are 3, 5, 2161. Prime factorization of 32415 in exponential form is:

32415 = 3¹ × 5¹ × 2161¹

Step-3: Factors of 32409

List of positive integer factors of 32409 that divides 32409 without a remainder.

1, 3, 9, 13, 39, 117, 277, 831, 2493, 3601, 10803

Step-4: Factors of 32415

List of positive integer factors of 32415 that divides 32409 without a remainder.

1, 3, 5, 15, 2161, 6483, 10805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32409 and 32415. The biggest common factor number is the GCF number.
So the greatest common factor 32409 and 32415 is 3.

Also check out the Least Common Multiple of 32409 and 32415