What is the Greatest Common Factor of 28997 and 29016?

Greatest common factor (GCF) of 28997 and 29016 is 1.

GCF(28997,29016) = 1

We will now calculate the prime factors of 28997 and 29016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28997 and 29016.

How to find the GCF of 28997 and 29016?

We will first find the prime factorization of 28997 and 29016. After we will calculate the factors of 28997 and 29016 and find the biggest common factor number .

Step-1: Prime Factorization of 28997

Prime factors of 28997 are 107, 271. Prime factorization of 28997 in exponential form is:

28997 = 107¹ × 271¹

Step-2: 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-3: Factors of 28997

List of positive integer factors of 28997 that divides 28997 without a remainder.

1, 107, 271

Step-4: Factors of 29016

List of positive integer factors of 29016 that divides 28997 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28997 and 29016. The biggest common factor number is the GCF number.
So the greatest common factor 28997 and 29016 is 1.

Also check out the Least Common Multiple of 28997 and 29016