What is the Greatest Common Factor of 29856 and 29865?

Greatest common factor (GCF) of 29856 and 29865 is 3.

GCF(29856,29865) = 3

We will now calculate the prime factors of 29856 and 29865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29856 and 29865.

How to find the GCF of 29856 and 29865?

We will first find the prime factorization of 29856 and 29865. After we will calculate the factors of 29856 and 29865 and find the biggest common factor number .

Step-1: Prime Factorization of 29856

Prime factors of 29856 are 2, 3, 311. Prime factorization of 29856 in exponential form is:

29856 = 2⁵ × 3¹ × 311¹

Step-2: Prime Factorization of 29865

Prime factors of 29865 are 3, 5, 11, 181. Prime factorization of 29865 in exponential form is:

29865 = 3¹ × 5¹ × 11¹ × 181¹

Step-3: Factors of 29856

List of positive integer factors of 29856 that divides 29856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928

Step-4: Factors of 29865

List of positive integer factors of 29865 that divides 29856 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 181, 543, 905, 1991, 2715, 5973, 9955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29856 and 29865. The biggest common factor number is the GCF number.
So the greatest common factor 29856 and 29865 is 3.

Also check out the Least Common Multiple of 29856 and 29865