What is the Greatest Common Factor of 29728 and 29744?

Greatest common factor (GCF) of 29728 and 29744 is 16.

GCF(29728,29744) = 16

We will now calculate the prime factors of 29728 and 29744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29728 and 29744.

How to find the GCF of 29728 and 29744?

We will first find the prime factorization of 29728 and 29744. After we will calculate the factors of 29728 and 29744 and find the biggest common factor number .

Step-1: Prime Factorization of 29728

Prime factors of 29728 are 2, 929. Prime factorization of 29728 in exponential form is:

29728 = 2⁵ × 929¹

Step-2: Prime Factorization of 29744

Prime factors of 29744 are 2, 11, 13. Prime factorization of 29744 in exponential form is:

29744 = 2⁴ × 11¹ × 13²

Step-3: Factors of 29728

List of positive integer factors of 29728 that divides 29728 without a remainder.

1, 2, 4, 8, 16, 32, 929, 1858, 3716, 7432, 14864

Step-4: Factors of 29744

List of positive integer factors of 29744 that divides 29728 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 169, 176, 208, 286, 338, 572, 676, 1144, 1352, 1859, 2288, 2704, 3718, 7436, 14872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29728 and 29744. The biggest common factor number is the GCF number.
So the greatest common factor 29728 and 29744 is 16.

Also check out the Least Common Multiple of 29728 and 29744