What is the Greatest Common Factor of 812 and 816?

Greatest common factor (GCF) of 812 and 816 is 4.

GCF(812,816) = 4

We will now calculate the prime factors of 812 and 816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 812 and 816.

How to find the GCF of 812 and 816?

We will first find the prime factorization of 812 and 816. After we will calculate the factors of 812 and 816 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 816

Prime factors of 816 are 2, 3, 17. Prime factorization of 816 in exponential form is:

816 = 2⁴ × 3¹ × 17¹

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 816

List of positive integer factors of 816 that divides 812 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 812 and 816. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 816 is 4.

Also check out the Least Common Multiple of 812 and 816