What is the Greatest Common Factor of 8 and 1000?

Greatest common factor (GCF) of 8 and 1000 is 8.

GCF(8,1000) = 8

We will now calculate the prime factors of 8 and 1000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 1000.

How to find the GCF of 8 and 1000?

We will first find the prime factorization of 8 and 1000. After we will calculate the factors of 8 and 1000 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 1000

Prime factors of 1000 are 2, 5. Prime factorization of 1000 in exponential form is:

1000 = 2³ × 5³

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 1000

List of positive integer factors of 1000 that divides 8 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 1000 is 8.

Also check out the Least Common Multiple of 8 and 1000