What is the Greatest Common Factor of 29728 and 29733?

Greatest common factor (GCF) of 29728 and 29733 is 1.

GCF(29728,29733) = 1

We will now calculate the prime factors of 29728 and 29733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29728 and 29733.

How to find the GCF of 29728 and 29733?

We will first find the prime factorization of 29728 and 29733. After we will calculate the factors of 29728 and 29733 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 29733

Prime factors of 29733 are 3, 11, 17, 53. Prime factorization of 29733 in exponential form is:

29733 = 3¹ × 11¹ × 17¹ × 53¹

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 29733

List of positive integer factors of 29733 that divides 29728 without a remainder.

1, 3, 11, 17, 33, 51, 53, 159, 187, 561, 583, 901, 1749, 2703, 9911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29728 and 29733. The biggest common factor number is the GCF number.
So the greatest common factor 29728 and 29733 is 1.

Also check out the Least Common Multiple of 29728 and 29733