What is the Greatest Common Factor of 32908 and 32918?

Greatest common factor (GCF) of 32908 and 32918 is 2.

GCF(32908,32918) = 2

We will now calculate the prime factors of 32908 and 32918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32908 and 32918.

How to find the GCF of 32908 and 32918?

We will first find the prime factorization of 32908 and 32918. After we will calculate the factors of 32908 and 32918 and find the biggest common factor number .

Step-1: Prime Factorization of 32908

Prime factors of 32908 are 2, 19, 433. Prime factorization of 32908 in exponential form is:

32908 = 2² × 19¹ × 433¹

Step-2: Prime Factorization of 32918

Prime factors of 32918 are 2, 109, 151. Prime factorization of 32918 in exponential form is:

32918 = 2¹ × 109¹ × 151¹

Step-3: Factors of 32908

List of positive integer factors of 32908 that divides 32908 without a remainder.

1, 2, 4, 19, 38, 76, 433, 866, 1732, 8227, 16454

Step-4: Factors of 32918

List of positive integer factors of 32918 that divides 32908 without a remainder.

1, 2, 109, 151, 218, 302, 16459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32908 and 32918. The biggest common factor number is the GCF number.
So the greatest common factor 32908 and 32918 is 2.

Also check out the Least Common Multiple of 32908 and 32918