What is the Greatest Common Factor of 812 and 822?

Greatest common factor (GCF) of 812 and 822 is 2.

GCF(812,822) = 2

We will now calculate the prime factors of 812 and 822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 812 and 822.

How to find the GCF of 812 and 822?

We will first find the prime factorization of 812 and 822. After we will calculate the factors of 812 and 822 and find the biggest common factor number .

Step-1: Prime Factorization of 812

Prime factors of 812 are 2, 7, 29. Prime factorization of 812 in exponential form is:

812 = 2² × 7¹ × 29¹

Step-2: Prime Factorization of 822

Prime factors of 822 are 2, 3, 137. Prime factorization of 822 in exponential form is:

822 = 2¹ × 3¹ × 137¹

Step-3: Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406

Step-4: Factors of 822

List of positive integer factors of 822 that divides 812 without a remainder.

1, 2, 3, 6, 137, 274, 411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 812 and 822. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 822 is 2.

Also check out the Least Common Multiple of 812 and 822