What is the Greatest Common Factor of 79794 and 79805?

Greatest common factor (GCF) of 79794 and 79805 is 11.

GCF(79794,79805) = 11

We will now calculate the prime factors of 79794 and 79805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79794 and 79805.

How to find the GCF of 79794 and 79805?

We will first find the prime factorization of 79794 and 79805. After we will calculate the factors of 79794 and 79805 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 79805

Prime factors of 79805 are 5, 11, 1451. Prime factorization of 79805 in exponential form is:

79805 = 5¹ × 11¹ × 1451¹

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 79805

List of positive integer factors of 79805 that divides 79794 without a remainder.

1, 5, 11, 55, 1451, 7255, 15961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79794 and 79805. The biggest common factor number is the GCF number.
So the greatest common factor 79794 and 79805 is 11.

Also check out the Least Common Multiple of 79794 and 79805