What is the Greatest Common Factor of 32814 and 32822?

Greatest common factor (GCF) of 32814 and 32822 is 2.

GCF(32814,32822) = 2

We will now calculate the prime factors of 32814 and 32822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32814 and 32822.

How to find the GCF of 32814 and 32822?

We will first find the prime factorization of 32814 and 32822. After we will calculate the factors of 32814 and 32822 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 32822

Prime factors of 32822 are 2, 16411. Prime factorization of 32822 in exponential form is:

32822 = 2¹ × 16411¹

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 32822

List of positive integer factors of 32822 that divides 32814 without a remainder.

1, 2, 16411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32814 and 32822. The biggest common factor number is the GCF number.
So the greatest common factor 32814 and 32822 is 2.

Also check out the Least Common Multiple of 32814 and 32822