What is the Greatest Common Factor of 7991 and 8008?

Greatest common factor (GCF) of 7991 and 8008 is 1.

GCF(7991,8008) = 1

We will now calculate the prime factors of 7991 and 8008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7991 and 8008.

How to find the GCF of 7991 and 8008?

We will first find the prime factorization of 7991 and 8008. After we will calculate the factors of 7991 and 8008 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 8008

Prime factors of 8008 are 2, 7, 11, 13. Prime factorization of 8008 in exponential form is:

8008 = 2³ × 7¹ × 11¹ × 13¹

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 8008

List of positive integer factors of 8008 that divides 7991 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7991 and 8008. The biggest common factor number is the GCF number.
So the greatest common factor 7991 and 8008 is 1.

Also check out the Least Common Multiple of 7991 and 8008