What is the Greatest Common Factor of 216 and 1000?

Greatest common factor (GCF) of 216 and 1000 is 8.

GCF(216,1000) = 8

We will now calculate the prime factors of 216 and 1000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 216 and 1000.

How to find the GCF of 216 and 1000?

We will first find the prime factorization of 216 and 1000. After we will calculate the factors of 216 and 1000 and find the biggest common factor number .

Step-1: Prime Factorization of 216

Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:

216 = 2³ × 3³

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 216

List of positive integer factors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108

Step-4: Factors of 1000

List of positive integer factors of 1000 that divides 216 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 216 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 216 and 1000 is 8.

Also check out the Least Common Multiple of 216 and 1000