What is the Greatest Common Factor of 7984 and 8001?

Greatest common factor (GCF) of 7984 and 8001 is 1.

GCF(7984,8001) = 1

We will now calculate the prime factors of 7984 and 8001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7984 and 8001.

How to find the GCF of 7984 and 8001?

We will first find the prime factorization of 7984 and 8001. After we will calculate the factors of 7984 and 8001 and find the biggest common factor number .

Step-1: Prime Factorization of 7984

Prime factors of 7984 are 2, 499. Prime factorization of 7984 in exponential form is:

7984 = 2⁴ × 499¹

Step-2: Prime Factorization of 8001

Prime factors of 8001 are 3, 7, 127. Prime factorization of 8001 in exponential form is:

8001 = 3² × 7¹ × 127¹

Step-3: Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992

Step-4: Factors of 8001

List of positive integer factors of 8001 that divides 7984 without a remainder.

1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7984 and 8001. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 8001 is 1.

Also check out the Least Common Multiple of 7984 and 8001