What is the Greatest Common Factor of 32394 and 32408?

Greatest common factor (GCF) of 32394 and 32408 is 2.

GCF(32394,32408) = 2

We will now calculate the prime factors of 32394 and 32408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32394 and 32408.

How to find the GCF of 32394 and 32408?

We will first find the prime factorization of 32394 and 32408. After we will calculate the factors of 32394 and 32408 and find the biggest common factor number .

Step-1: Prime Factorization of 32394

Prime factors of 32394 are 2, 3, 5399. Prime factorization of 32394 in exponential form is:

32394 = 2¹ × 3¹ × 5399¹

Step-2: Prime Factorization of 32408

Prime factors of 32408 are 2, 4051. Prime factorization of 32408 in exponential form is:

32408 = 2³ × 4051¹

Step-3: Factors of 32394

List of positive integer factors of 32394 that divides 32394 without a remainder.

1, 2, 3, 6, 5399, 10798, 16197

Step-4: Factors of 32408

List of positive integer factors of 32408 that divides 32394 without a remainder.

1, 2, 4, 8, 4051, 8102, 16204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32394 and 32408. The biggest common factor number is the GCF number.
So the greatest common factor 32394 and 32408 is 2.

Also check out the Least Common Multiple of 32394 and 32408