What is the Greatest Common Factor of 32804 and 32814?

Greatest common factor (GCF) of 32804 and 32814 is 2.

GCF(32804,32814) = 2

We will now calculate the prime factors of 32804 and 32814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32804 and 32814.

How to find the GCF of 32804 and 32814?

We will first find the prime factorization of 32804 and 32814. After we will calculate the factors of 32804 and 32814 and find the biggest common factor number .

Step-1: Prime Factorization of 32804

Prime factors of 32804 are 2, 59, 139. Prime factorization of 32804 in exponential form is:

32804 = 2² × 59¹ × 139¹

Step-2: Prime Factorization of 32814

Prime factors of 32814 are 2, 3, 1823. Prime factorization of 32814 in exponential form is:

32814 = 2¹ × 3² × 1823¹

Step-3: Factors of 32804

List of positive integer factors of 32804 that divides 32804 without a remainder.

1, 2, 4, 59, 118, 139, 236, 278, 556, 8201, 16402

Step-4: Factors of 32814

List of positive integer factors of 32814 that divides 32804 without a remainder.

1, 2, 3, 6, 9, 18, 1823, 3646, 5469, 10938, 16407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32804 and 32814. The biggest common factor number is the GCF number.
So the greatest common factor 32804 and 32814 is 2.

Also check out the Least Common Multiple of 32804 and 32814