What is the Greatest Common Factor of 29889 and 29907?

Greatest common factor (GCF) of 29889 and 29907 is 9.

GCF(29889,29907) = 9

We will now calculate the prime factors of 29889 and 29907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29889 and 29907.

How to find the GCF of 29889 and 29907?

We will first find the prime factorization of 29889 and 29907. After we will calculate the factors of 29889 and 29907 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 29907

Prime factors of 29907 are 3, 3323. Prime factorization of 29907 in exponential form is:

29907 = 3² × 3323¹

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 29907

List of positive integer factors of 29907 that divides 29889 without a remainder.

1, 3, 9, 3323, 9969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29889 and 29907. The biggest common factor number is the GCF number.
So the greatest common factor 29889 and 29907 is 9.

Also check out the Least Common Multiple of 29889 and 29907