What is the Greatest Common Factor of 29016 and 29027?

Greatest common factor (GCF) of 29016 and 29027 is 1.

GCF(29016,29027) = 1

We will now calculate the prime factors of 29016 and 29027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29016 and 29027.

How to find the GCF of 29016 and 29027?

We will first find the prime factorization of 29016 and 29027. After we will calculate the factors of 29016 and 29027 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 29027

Prime factors of 29027 are 29027. Prime factorization of 29027 in exponential form is:

29027 = 29027¹

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 29027

List of positive integer factors of 29027 that divides 29016 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29016 and 29027. The biggest common factor number is the GCF number.
So the greatest common factor 29016 and 29027 is 1.

Also check out the Least Common Multiple of 29016 and 29027