What is the Greatest Common Factor of 798 and 805?

Greatest common factor (GCF) of 798 and 805 is 7.

GCF(798,805) = 7

We will now calculate the prime factors of 798 and 805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 798 and 805.

How to find the GCF of 798 and 805?

We will first find the prime factorization of 798 and 805. After we will calculate the factors of 798 and 805 and find the biggest common factor number .

Step-1: Prime Factorization of 798

Prime factors of 798 are 2, 3, 7, 19. Prime factorization of 798 in exponential form is:

798 = 2¹ × 3¹ × 7¹ × 19¹

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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399

Step-4: Factors of 805

List of positive integer factors of 805 that divides 798 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 798 and 805. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 805 is 7.

Also check out the Least Common Multiple of 798 and 805