What is the Greatest Common Factor of 32409 and 32417?

Greatest common factor (GCF) of 32409 and 32417 is 1.

GCF(32409,32417) = 1

We will now calculate the prime factors of 32409 and 32417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32409 and 32417.

How to find the GCF of 32409 and 32417?

We will first find the prime factorization of 32409 and 32417. After we will calculate the factors of 32409 and 32417 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 32417

Prime factors of 32417 are 7, 11, 421. Prime factorization of 32417 in exponential form is:

32417 = 7¹ × 11¹ × 421¹

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 32417

List of positive integer factors of 32417 that divides 32409 without a remainder.

1, 7, 11, 77, 421, 2947, 4631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32409 and 32417. The biggest common factor number is the GCF number.
So the greatest common factor 32409 and 32417 is 1.

Also check out the Least Common Multiple of 32409 and 32417