What is the Greatest Common Factor of 32814 and 32826?

Greatest common factor (GCF) of 32814 and 32826 is 6.

GCF(32814,32826) = 6

We will now calculate the prime factors of 32814 and 32826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32814 and 32826.

How to find the GCF of 32814 and 32826?

We will first find the prime factorization of 32814 and 32826. After we will calculate the factors of 32814 and 32826 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 32826

Prime factors of 32826 are 2, 3, 5471. Prime factorization of 32826 in exponential form is:

32826 = 2¹ × 3¹ × 5471¹

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 32826

List of positive integer factors of 32826 that divides 32814 without a remainder.

1, 2, 3, 6, 5471, 10942, 16413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32814 and 32826. The biggest common factor number is the GCF number.
So the greatest common factor 32814 and 32826 is 6.

Also check out the Least Common Multiple of 32814 and 32826