What is the Greatest Common Factor of 32807 and 32814?

Greatest common factor (GCF) of 32807 and 32814 is 1.

GCF(32807,32814) = 1

We will now calculate the prime factors of 32807 and 32814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32807 and 32814.

How to find the GCF of 32807 and 32814?

We will first find the prime factorization of 32807 and 32814. After we will calculate the factors of 32807 and 32814 and find the biggest common factor number .

Step-1: Prime Factorization of 32807

Prime factors of 32807 are 53, 619. Prime factorization of 32807 in exponential form is:

32807 = 53¹ × 619¹

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 32807

List of positive integer factors of 32807 that divides 32807 without a remainder.

1, 53, 619

Step-4: Factors of 32814

List of positive integer factors of 32814 that divides 32807 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 32807 and 32814. The biggest common factor number is the GCF number.
So the greatest common factor 32807 and 32814 is 1.

Also check out the Least Common Multiple of 32807 and 32814