What is the Greatest Common Factor of 79794 and 79807?

Greatest common factor (GCF) of 79794 and 79807 is 13.

GCF(79794,79807) = 13

We will now calculate the prime factors of 79794 and 79807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79794 and 79807.

How to find the GCF of 79794 and 79807?

We will first find the prime factorization of 79794 and 79807. After we will calculate the factors of 79794 and 79807 and find the biggest common factor number .

Step-1: Prime Factorization of 79794

Prime factors of 79794 are 2, 3, 11, 13, 31. Prime factorization of 79794 in exponential form is:

79794 = 2¹ × 3² × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 79807

Prime factors of 79807 are 7, 13, 877. Prime factorization of 79807 in exponential form is:

79807 = 7¹ × 13¹ × 877¹

Step-3: Factors of 79794

List of positive integer factors of 79794 that divides 79794 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 31, 33, 39, 62, 66, 78, 93, 99, 117, 143, 186, 198, 234, 279, 286, 341, 403, 429, 558, 682, 806, 858, 1023, 1209, 1287, 2046, 2418, 2574, 3069, 3627, 4433, 6138, 7254, 8866, 13299, 26598, 39897

Step-4: Factors of 79807

List of positive integer factors of 79807 that divides 79794 without a remainder.

1, 7, 13, 91, 877, 6139, 11401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79794 and 79807. The biggest common factor number is the GCF number.
So the greatest common factor 79794 and 79807 is 13.

Also check out the Least Common Multiple of 79794 and 79807