What is the Greatest Common Factor of 28994 and 29000?

Greatest common factor (GCF) of 28994 and 29000 is 2.

GCF(28994,29000) = 2

We will now calculate the prime factors of 28994 and 29000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28994 and 29000.

How to find the GCF of 28994 and 29000?

We will first find the prime factorization of 28994 and 29000. After we will calculate the factors of 28994 and 29000 and find the biggest common factor number .

Step-1: Prime Factorization of 28994

Prime factors of 28994 are 2, 7, 19, 109. Prime factorization of 28994 in exponential form is:

28994 = 2¹ × 7¹ × 19¹ × 109¹

Step-2: 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-3: Factors of 28994

List of positive integer factors of 28994 that divides 28994 without a remainder.

1, 2, 7, 14, 19, 38, 109, 133, 218, 266, 763, 1526, 2071, 4142, 14497

Step-4: Factors of 29000

List of positive integer factors of 29000 that divides 28994 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28994 and 29000. The biggest common factor number is the GCF number.
So the greatest common factor 28994 and 29000 is 2.

Also check out the Least Common Multiple of 28994 and 29000