What is the Greatest Common Factor of 799 and 805?

Greatest common factor (GCF) of 799 and 805 is 1.

GCF(799,805) = 1

We will now calculate the prime factors of 799 and 805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 799 and 805.

How to find the GCF of 799 and 805?

We will first find the prime factorization of 799 and 805. After we will calculate the factors of 799 and 805 and find the biggest common factor number .

Step-1: Prime Factorization of 799

Prime factors of 799 are 17, 47. Prime factorization of 799 in exponential form is:

799 = 17¹ × 47¹

Step-2: Prime Factorization of 805

Prime factors of 805 are 5, 7, 23. Prime factorization of 805 in exponential form is:

805 = 5¹ × 7¹ × 23¹

Step-3: Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1, 17, 47

Step-4: Factors of 805

List of positive integer factors of 805 that divides 799 without a remainder.

1, 5, 7, 23, 35, 115, 161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 799 and 805. The biggest common factor number is the GCF number.
So the greatest common factor 799 and 805 is 1.

Also check out the Least Common Multiple of 799 and 805