What is the Greatest Common Factor of 7991 and 8009?

Greatest common factor (GCF) of 7991 and 8009 is 1.

GCF(7991,8009) = 1

We will now calculate the prime factors of 7991 and 8009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7991 and 8009.

How to find the GCF of 7991 and 8009?

We will first find the prime factorization of 7991 and 8009. After we will calculate the factors of 7991 and 8009 and find the biggest common factor number .

Step-1: Prime Factorization of 7991

Prime factors of 7991 are 61, 131. Prime factorization of 7991 in exponential form is:

7991 = 61¹ × 131¹

Step-2: Prime Factorization of 8009

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 8009¹

Step-3: Factors of 7991

List of positive integer factors of 7991 that divides 7991 without a remainder.

1, 61, 131

Step-4: Factors of 8009

List of positive integer factors of 8009 that divides 7991 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7991 and 8009. The biggest common factor number is the GCF number.
So the greatest common factor 7991 and 8009 is 1.

Also check out the Least Common Multiple of 7991 and 8009