What is the Greatest Common Factor of 7990 and 8000?

Greatest common factor (GCF) of 7990 and 8000 is 10.

GCF(7990,8000) = 10

We will now calculate the prime factors of 7990 and 8000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7990 and 8000.

How to find the GCF of 7990 and 8000?

We will first find the prime factorization of 7990 and 8000. After we will calculate the factors of 7990 and 8000 and find the biggest common factor number .

Step-1: Prime Factorization of 7990

Prime factors of 7990 are 2, 5, 17, 47. Prime factorization of 7990 in exponential form is:

7990 = 2¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 8000

Prime factors of 8000 are 2, 5. Prime factorization of 8000 in exponential form is:

8000 = 2⁶ × 5³

Step-3: Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995

Step-4: Factors of 8000

List of positive integer factors of 8000 that divides 7990 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7990 and 8000. The biggest common factor number is the GCF number.
So the greatest common factor 7990 and 8000 is 10.

Also check out the Least Common Multiple of 7990 and 8000