What is the Greatest Common Factor of 29000 and 29013?

Greatest common factor (GCF) of 29000 and 29013 is 1.

GCF(29000,29013) = 1

We will now calculate the prime factors of 29000 and 29013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29000 and 29013.

How to find the GCF of 29000 and 29013?

We will first find the prime factorization of 29000 and 29013. After we will calculate the factors of 29000 and 29013 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 29013

Prime factors of 29013 are 3, 19, 509. Prime factorization of 29013 in exponential form is:

29013 = 3¹ × 19¹ × 509¹

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 29013

List of positive integer factors of 29013 that divides 29000 without a remainder.

1, 3, 19, 57, 509, 1527, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29000 and 29013. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29013 is 1.

Also check out the Least Common Multiple of 29000 and 29013