What is the Greatest Common Factor of 7986 and 8005?

Greatest common factor (GCF) of 7986 and 8005 is 1.

GCF(7986,8005) = 1

We will now calculate the prime factors of 7986 and 8005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7986 and 8005.

How to find the GCF of 7986 and 8005?

We will first find the prime factorization of 7986 and 8005. After we will calculate the factors of 7986 and 8005 and find the biggest common factor number .

Step-1: Prime Factorization of 7986

Prime factors of 7986 are 2, 3, 11. Prime factorization of 7986 in exponential form is:

7986 = 2¹ × 3¹ × 11³

Step-2: Prime Factorization of 8005

Prime factors of 8005 are 5, 1601. Prime factorization of 8005 in exponential form is:

8005 = 5¹ × 1601¹

Step-3: Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993

Step-4: Factors of 8005

List of positive integer factors of 8005 that divides 7986 without a remainder.

1, 5, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7986 and 8005. The biggest common factor number is the GCF number.
So the greatest common factor 7986 and 8005 is 1.

Also check out the Least Common Multiple of 7986 and 8005