What is the Greatest Common Factor of 29889 and 29898?

Greatest common factor (GCF) of 29889 and 29898 is 9.

GCF(29889,29898) = 9

We will now calculate the prime factors of 29889 and 29898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29889 and 29898.

How to find the GCF of 29889 and 29898?

We will first find the prime factorization of 29889 and 29898. After we will calculate the factors of 29889 and 29898 and find the biggest common factor number .

Step-1: Prime Factorization of 29889

Prime factors of 29889 are 3, 41. Prime factorization of 29889 in exponential form is:

29889 = 3⁶ × 41¹

Step-2: Prime Factorization of 29898

Prime factors of 29898 are 2, 3, 11, 151. Prime factorization of 29898 in exponential form is:

29898 = 2¹ × 3² × 11¹ × 151¹

Step-3: Factors of 29889

List of positive integer factors of 29889 that divides 29889 without a remainder.

1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 3321, 9963

Step-4: Factors of 29898

List of positive integer factors of 29898 that divides 29889 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 151, 198, 302, 453, 906, 1359, 1661, 2718, 3322, 4983, 9966, 14949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29889 and 29898. The biggest common factor number is the GCF number.
So the greatest common factor 29889 and 29898 is 9.

Also check out the Least Common Multiple of 29889 and 29898