What is the Greatest Common Factor of 29000 and 29012?

Greatest common factor (GCF) of 29000 and 29012 is 4.

GCF(29000,29012) = 4

We will now calculate the prime factors of 29000 and 29012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29000 and 29012.

How to find the GCF of 29000 and 29012?

We will first find the prime factorization of 29000 and 29012. After we will calculate the factors of 29000 and 29012 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 29012

Prime factors of 29012 are 2, 7253. Prime factorization of 29012 in exponential form is:

29012 = 2² × 7253¹

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 29012

List of positive integer factors of 29012 that divides 29000 without a remainder.

1, 2, 4, 7253, 14506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29000 and 29012. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29012 is 4.

Also check out the Least Common Multiple of 29000 and 29012