What is the Greatest Common Factor of 29889 and 29906?

Greatest common factor (GCF) of 29889 and 29906 is 1.

GCF(29889,29906) = 1

We will now calculate the prime factors of 29889 and 29906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29889 and 29906.

How to find the GCF of 29889 and 29906?

We will first find the prime factorization of 29889 and 29906. After we will calculate the factors of 29889 and 29906 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 29906

Prime factors of 29906 are 2, 19, 787. Prime factorization of 29906 in exponential form is:

29906 = 2¹ × 19¹ × 787¹

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 29906

List of positive integer factors of 29906 that divides 29889 without a remainder.

1, 2, 19, 38, 787, 1574, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29889 and 29906. The biggest common factor number is the GCF number.
So the greatest common factor 29889 and 29906 is 1.

Also check out the Least Common Multiple of 29889 and 29906