What is the Greatest Common Factor of 29016 and 29031?

Greatest common factor (GCF) of 29016 and 29031 is 3.

GCF(29016,29031) = 3

We will now calculate the prime factors of 29016 and 29031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29016 and 29031.

How to find the GCF of 29016 and 29031?

We will first find the prime factorization of 29016 and 29031. After we will calculate the factors of 29016 and 29031 and find the biggest common factor number .

Step-1: Prime Factorization of 29016

Prime factors of 29016 are 2, 3, 13, 31. Prime factorization of 29016 in exponential form is:

29016 = 2³ × 3² × 13¹ × 31¹

Step-2: Prime Factorization of 29031

Prime factors of 29031 are 3, 9677. Prime factorization of 29031 in exponential form is:

29031 = 3¹ × 9677¹

Step-3: Factors of 29016

List of positive integer factors of 29016 that divides 29016 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52, 62, 72, 78, 93, 104, 117, 124, 156, 186, 234, 248, 279, 312, 372, 403, 468, 558, 744, 806, 936, 1116, 1209, 1612, 2232, 2418, 3224, 3627, 4836, 7254, 9672, 14508

Step-4: Factors of 29031

List of positive integer factors of 29031 that divides 29016 without a remainder.

1, 3, 9677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29016 and 29031. The biggest common factor number is the GCF number.
So the greatest common factor 29016 and 29031 is 3.

Also check out the Least Common Multiple of 29016 and 29031