What is the Greatest Common Factor of 7990 and 8007?

Greatest common factor (GCF) of 7990 and 8007 is 17.

GCF(7990,8007) = 17

We will now calculate the prime factors of 7990 and 8007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7990 and 8007.

How to find the GCF of 7990 and 8007?

We will first find the prime factorization of 7990 and 8007. After we will calculate the factors of 7990 and 8007 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 8007

Prime factors of 8007 are 3, 17, 157. Prime factorization of 8007 in exponential form is:

8007 = 3¹ × 17¹ × 157¹

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 8007

List of positive integer factors of 8007 that divides 7990 without a remainder.

1, 3, 17, 51, 157, 471, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7990 and 8007. The biggest common factor number is the GCF number.
So the greatest common factor 7990 and 8007 is 17.

Also check out the Least Common Multiple of 7990 and 8007