What is the Greatest Common Factor of 807 and 816?

Greatest common factor (GCF) of 807 and 816 is 3.

GCF(807,816) = 3

We will now calculate the prime factors of 807 and 816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 807 and 816.

How to find the GCF of 807 and 816?

We will first find the prime factorization of 807 and 816. After we will calculate the factors of 807 and 816 and find the biggest common factor number .

Step-1: Prime Factorization of 807

Prime factors of 807 are 3, 269. Prime factorization of 807 in exponential form is:

807 = 3¹ × 269¹

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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1, 3, 269

Step-4: Factors of 816

List of positive integer factors of 816 that divides 807 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 807 and 816. The biggest common factor number is the GCF number.
So the greatest common factor 807 and 816 is 3.

Also check out the Least Common Multiple of 807 and 816