What is the Greatest Common Factor of 28984 and 29000?

Greatest common factor (GCF) of 28984 and 29000 is 8.

GCF(28984,29000) = 8

We will now calculate the prime factors of 28984 and 29000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28984 and 29000.

How to find the GCF of 28984 and 29000?

We will first find the prime factorization of 28984 and 29000. After we will calculate the factors of 28984 and 29000 and find the biggest common factor number .

Step-1: Prime Factorization of 28984

Prime factors of 28984 are 2, 3623. Prime factorization of 28984 in exponential form is:

28984 = 2³ × 3623¹

Step-2: Prime Factorization of 29000

Prime factors of 29000 are 2, 5, 29. Prime factorization of 29000 in exponential form is:

29000 = 2³ × 5³ × 29¹

Step-3: Factors of 28984

List of positive integer factors of 28984 that divides 28984 without a remainder.

1, 2, 4, 8, 3623, 7246, 14492

Step-4: Factors of 29000

List of positive integer factors of 29000 that divides 28984 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145, 200, 232, 250, 290, 500, 580, 725, 1000, 1160, 1450, 2900, 3625, 5800, 7250, 14500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28984 and 29000. The biggest common factor number is the GCF number.
So the greatest common factor 28984 and 29000 is 8.

Also check out the Least Common Multiple of 28984 and 29000