What is the Greatest Common Factor of 802 and 816?

Greatest common factor (GCF) of 802 and 816 is 2.

GCF(802,816) = 2

We will now calculate the prime factors of 802 and 816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 802 and 816.

How to find the GCF of 802 and 816?

We will first find the prime factorization of 802 and 816. After we will calculate the factors of 802 and 816 and find the biggest common factor number .

Step-1: Prime Factorization of 802

Prime factors of 802 are 2, 401. Prime factorization of 802 in exponential form is:

802 = 2¹ × 401¹

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 802

List of positive integer factors of 802 that divides 802 without a remainder.

1, 2, 401

Step-4: Factors of 816

List of positive integer factors of 816 that divides 802 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 802 and 816. The biggest common factor number is the GCF number.
So the greatest common factor 802 and 816 is 2.

Also check out the Least Common Multiple of 802 and 816