What is the Greatest Common Factor of 29000 and 29010?

Greatest common factor (GCF) of 29000 and 29010 is 10.

GCF(29000,29010) = 10

We will now calculate the prime factors of 29000 and 29010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29000 and 29010.

How to find the GCF of 29000 and 29010?

We will first find the prime factorization of 29000 and 29010. After we will calculate the factors of 29000 and 29010 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 29010

Prime factors of 29010 are 2, 3, 5, 967. Prime factorization of 29010 in exponential form is:

29010 = 2¹ × 3¹ × 5¹ × 967¹

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 29010

List of positive integer factors of 29010 that divides 29000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29000 and 29010. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29010 is 10.

Also check out the Least Common Multiple of 29000 and 29010