What is the Greatest Common Factor of 29000 and 29004?

Greatest common factor (GCF) of 29000 and 29004 is 4.

GCF(29000,29004) = 4

We will now calculate the prime factors of 29000 and 29004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29000 and 29004.

How to find the GCF of 29000 and 29004?

We will first find the prime factorization of 29000 and 29004. After we will calculate the factors of 29000 and 29004 and find the biggest common factor number .

Step-1: 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-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 29000

List of positive integer factors of 29000 that divides 29000 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

Step-4: Factors of 29004

List of positive integer factors of 29004 that divides 29000 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 29000 and 29004. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29004 is 4.

Also check out the Least Common Multiple of 29000 and 29004