What is the Greatest Common Factor of 32409 and 32424?

Greatest common factor (GCF) of 32409 and 32424 is 3.

GCF(32409,32424) = 3

We will now calculate the prime factors of 32409 and 32424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32409 and 32424.

How to find the GCF of 32409 and 32424?

We will first find the prime factorization of 32409 and 32424. After we will calculate the factors of 32409 and 32424 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 32424

Prime factors of 32424 are 2, 3, 7, 193. Prime factorization of 32424 in exponential form is:

32424 = 2³ × 3¹ × 7¹ × 193¹

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 32424

List of positive integer factors of 32424 that divides 32409 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 193, 386, 579, 772, 1158, 1351, 1544, 2316, 2702, 4053, 4632, 5404, 8106, 10808, 16212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32409 and 32424. The biggest common factor number is the GCF number.
So the greatest common factor 32409 and 32424 is 3.

Also check out the Least Common Multiple of 32409 and 32424