What is the Greatest Common Factor of 32409 and 32421?

Greatest common factor (GCF) of 32409 and 32421 is 3.

GCF(32409,32421) = 3

We will now calculate the prime factors of 32409 and 32421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32409 and 32421.

How to find the GCF of 32409 and 32421?

We will first find the prime factorization of 32409 and 32421. After we will calculate the factors of 32409 and 32421 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 32421

Prime factors of 32421 are 3, 101, 107. Prime factorization of 32421 in exponential form is:

32421 = 3¹ × 101¹ × 107¹

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 32421

List of positive integer factors of 32421 that divides 32409 without a remainder.

1, 3, 101, 107, 303, 321, 10807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32409 and 32421. The biggest common factor number is the GCF number.
So the greatest common factor 32409 and 32421 is 3.

Also check out the Least Common Multiple of 32409 and 32421