What is the Greatest Common Factor of 29000 and 29011?

Greatest common factor (GCF) of 29000 and 29011 is 1.

GCF(29000,29011) = 1

We will now calculate the prime factors of 29000 and 29011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29000 and 29011.

How to find the GCF of 29000 and 29011?

We will first find the prime factorization of 29000 and 29011. After we will calculate the factors of 29000 and 29011 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 29011

Prime factors of 29011 are 67, 433. Prime factorization of 29011 in exponential form is:

29011 = 67¹ × 433¹

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 29011

List of positive integer factors of 29011 that divides 29000 without a remainder.

1, 67, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29000 and 29011. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29011 is 1.

Also check out the Least Common Multiple of 29000 and 29011