What is the Greatest Common Factor of 32796 and 32814?

Greatest common factor (GCF) of 32796 and 32814 is 18.

GCF(32796,32814) = 18

We will now calculate the prime factors of 32796 and 32814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32796 and 32814.

How to find the GCF of 32796 and 32814?

We will first find the prime factorization of 32796 and 32814. After we will calculate the factors of 32796 and 32814 and find the biggest common factor number .

Step-1: Prime Factorization of 32796

Prime factors of 32796 are 2, 3, 911. Prime factorization of 32796 in exponential form is:

32796 = 2² × 3² × 911¹

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 32796

List of positive integer factors of 32796 that divides 32796 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 911, 1822, 2733, 3644, 5466, 8199, 10932, 16398

Step-4: Factors of 32814

List of positive integer factors of 32814 that divides 32796 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 32796 and 32814. The biggest common factor number is the GCF number.
So the greatest common factor 32796 and 32814 is 18.

Also check out the Least Common Multiple of 32796 and 32814