What is the Greatest Common Factor of 28984 and 29004?

Greatest common factor (GCF) of 28984 and 29004 is 4.

GCF(28984,29004) = 4

We will now calculate the prime factors of 28984 and 29004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28984 and 29004.

How to find the GCF of 28984 and 29004?

We will first find the prime factorization of 28984 and 29004. After we will calculate the factors of 28984 and 29004 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 29004

Prime factors of 29004 are 2, 3, 2417. Prime factorization of 29004 in exponential form is:

29004 = 2² × 3¹ × 2417¹

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 29004

List of positive integer factors of 29004 that divides 28984 without a remainder.

1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28984 and 29004. The biggest common factor number is the GCF number.
So the greatest common factor 28984 and 29004 is 4.

Also check out the Least Common Multiple of 28984 and 29004