What is the Greatest Common Factor of 32409 and 32414?

Greatest common factor (GCF) of 32409 and 32414 is 1.

GCF(32409,32414) = 1

We will now calculate the prime factors of 32409 and 32414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32409 and 32414.

How to find the GCF of 32409 and 32414?

We will first find the prime factorization of 32409 and 32414. After we will calculate the factors of 32409 and 32414 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 32414

Prime factors of 32414 are 2, 19, 853. Prime factorization of 32414 in exponential form is:

32414 = 2¹ × 19¹ × 853¹

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 32414

List of positive integer factors of 32414 that divides 32409 without a remainder.

1, 2, 19, 38, 853, 1706, 16207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32409 and 32414. The biggest common factor number is the GCF number.
So the greatest common factor 32409 and 32414 is 1.

Also check out the Least Common Multiple of 32409 and 32414