GCF and LCM Calculator Logo

What is the Greatest Common Factor of 812 and 819?

Greatest common factor (GCF) of 812 and 819 is 7.

GCF(812,819) = 7

We will now calculate the prime factors of 812 and 819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 812 and 819.

GCF Calculator and
and

How to find the GCF of 812 and 819?

We will first find the prime factorization of 812 and 819. After we will calculate the factors of 812 and 819 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 819

Prime factors of 819 are 3, 7, 13. Prime factorization of 819 in exponential form is:

819 = 32 × 71 × 131

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 819

List of positive integer factors of 819 that divides 812 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 812 and 819. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 819 is 7.

Also check out the Least Common Multiple of 812 and 819