What is the Greatest Common Factor of 798 and 813?

Greatest common factor (GCF) of 798 and 813 is 3.

GCF(798,813) = 3

We will now calculate the prime factors of 798 and 813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 798 and 813.

How to find the GCF of 798 and 813?

We will first find the prime factorization of 798 and 813. After we will calculate the factors of 798 and 813 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 813

Prime factors of 813 are 3, 271. Prime factorization of 813 in exponential form is:

813 = 3¹ × 271¹

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 813

List of positive integer factors of 813 that divides 798 without a remainder.

1, 3, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 798 and 813. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 813 is 3.

Also check out the Least Common Multiple of 798 and 813