What is the Greatest Common Factor of 798 and 817?

Greatest common factor (GCF) of 798 and 817 is 19.

GCF(798,817) = 19

We will now calculate the prime factors of 798 and 817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 798 and 817.

How to find the GCF of 798 and 817?

We will first find the prime factorization of 798 and 817. After we will calculate the factors of 798 and 817 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 817

Prime factors of 817 are 19, 43. Prime factorization of 817 in exponential form is:

817 = 19¹ × 43¹

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 817

List of positive integer factors of 817 that divides 798 without a remainder.

1, 19, 43

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 798 and 817. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 817 is 19.

Also check out the Least Common Multiple of 798 and 817