What is the Greatest Common Factor of 29799 and 29805?

Greatest common factor (GCF) of 29799 and 29805 is 3.

GCF(29799,29805) = 3

We will now calculate the prime factors of 29799 and 29805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29799 and 29805.

How to find the GCF of 29799 and 29805?

We will first find the prime factorization of 29799 and 29805. After we will calculate the factors of 29799 and 29805 and find the biggest common factor number .

Step-1: Prime Factorization of 29799

Prime factors of 29799 are 3, 7, 11, 43. Prime factorization of 29799 in exponential form is:

29799 = 3² × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 29805

Prime factors of 29805 are 3, 5, 1987. Prime factorization of 29805 in exponential form is:

29805 = 3¹ × 5¹ × 1987¹

Step-3: Factors of 29799

List of positive integer factors of 29799 that divides 29799 without a remainder.

1, 3, 7, 9, 11, 21, 33, 43, 63, 77, 99, 129, 231, 301, 387, 473, 693, 903, 1419, 2709, 3311, 4257, 9933

Step-4: Factors of 29805

List of positive integer factors of 29805 that divides 29799 without a remainder.

1, 3, 5, 15, 1987, 5961, 9935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29799 and 29805. The biggest common factor number is the GCF number.
So the greatest common factor 29799 and 29805 is 3.

Also check out the Least Common Multiple of 29799 and 29805