What is the Greatest Common Factor of 32814 and 32818?

Greatest common factor (GCF) of 32814 and 32818 is 2.

GCF(32814,32818) = 2

We will now calculate the prime factors of 32814 and 32818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32814 and 32818.

How to find the GCF of 32814 and 32818?

We will first find the prime factorization of 32814 and 32818. After we will calculate the factors of 32814 and 32818 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32818

Prime factors of 32818 are 2, 61, 269. Prime factorization of 32818 in exponential form is:

32818 = 2¹ × 61¹ × 269¹

Step-3: Factors of 32814

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

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

Step-4: Factors of 32818

List of positive integer factors of 32818 that divides 32814 without a remainder.

1, 2, 61, 122, 269, 538, 16409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32814 and 32818. The biggest common factor number is the GCF number.
So the greatest common factor 32814 and 32818 is 2.

Also check out the Least Common Multiple of 32814 and 32818