What is the Greatest Common Factor of 8 and 800?

Greatest common factor (GCF) of 8 and 800 is 8.

GCF(8,800) = 8

We will now calculate the prime factors of 8 and 800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 800.

How to find the GCF of 8 and 800?

We will first find the prime factorization of 8 and 800. After we will calculate the factors of 8 and 800 and find the biggest common factor number .

Step-1: Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 2³

Step-2: Prime Factorization of 800

Prime factors of 800 are 2, 5. Prime factorization of 800 in exponential form is:

800 = 2⁵ × 5²

Step-3: Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4

Step-4: Factors of 800

List of positive integer factors of 800 that divides 8 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 800. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 800 is 8.

Also check out the Least Common Multiple of 8 and 800