What is the Greatest Common Factor of 32814 and 32834?

Greatest common factor (GCF) of 32814 and 32834 is 2.

GCF(32814,32834) = 2

We will now calculate the prime factors of 32814 and 32834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32814 and 32834.

How to find the GCF of 32814 and 32834?

We will first find the prime factorization of 32814 and 32834. After we will calculate the factors of 32814 and 32834 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 32834

Prime factors of 32834 are 2, 16417. Prime factorization of 32834 in exponential form is:

32834 = 2¹ × 16417¹

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 32834

List of positive integer factors of 32834 that divides 32814 without a remainder.

1, 2, 16417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32814 and 32834. The biggest common factor number is the GCF number.
So the greatest common factor 32814 and 32834 is 2.

Also check out the Least Common Multiple of 32814 and 32834