What is the Greatest Common Factor of 32814 and 32827?

Greatest common factor (GCF) of 32814 and 32827 is 1.

GCF(32814,32827) = 1

We will now calculate the prime factors of 32814 and 32827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32814 and 32827.

How to find the GCF of 32814 and 32827?

We will first find the prime factorization of 32814 and 32827. After we will calculate the factors of 32814 and 32827 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 32827

Prime factors of 32827 are 17, 1931. Prime factorization of 32827 in exponential form is:

32827 = 17¹ × 1931¹

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 32827

List of positive integer factors of 32827 that divides 32814 without a remainder.

1, 17, 1931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32814 and 32827. The biggest common factor number is the GCF number.
So the greatest common factor 32814 and 32827 is 1.

Also check out the Least Common Multiple of 32814 and 32827