What is the Greatest Common Factor of 29788 and 29799?

Greatest common factor (GCF) of 29788 and 29799 is 11.

GCF(29788,29799) = 11

We will now calculate the prime factors of 29788 and 29799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29788 and 29799.

How to find the GCF of 29788 and 29799?

We will first find the prime factorization of 29788 and 29799. After we will calculate the factors of 29788 and 29799 and find the biggest common factor number .

Step-1: Prime Factorization of 29788

Prime factors of 29788 are 2, 11, 677. Prime factorization of 29788 in exponential form is:

29788 = 2² × 11¹ × 677¹

Step-2: 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-3: Factors of 29788

List of positive integer factors of 29788 that divides 29788 without a remainder.

1, 2, 4, 11, 22, 44, 677, 1354, 2708, 7447, 14894

Step-4: Factors of 29799

List of positive integer factors of 29799 that divides 29788 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29788 and 29799. The biggest common factor number is the GCF number.
So the greatest common factor 29788 and 29799 is 11.

Also check out the Least Common Multiple of 29788 and 29799