What is the Greatest Common Factor of 56889 and 56909?

Greatest common factor (GCF) of 56889 and 56909 is 1.

GCF(56889,56909) = 1

We will now calculate the prime factors of 56889 and 56909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56889 and 56909.

How to find the GCF of 56889 and 56909?

We will first find the prime factorization of 56889 and 56909. After we will calculate the factors of 56889 and 56909 and find the biggest common factor number .

Step-1: Prime Factorization of 56889

Prime factors of 56889 are 3, 7, 43. Prime factorization of 56889 in exponential form is:

56889 = 3³ × 7² × 43¹

Step-2: Prime Factorization of 56909

Prime factors of 56909 are 56909. Prime factorization of 56909 in exponential form is:

56909 = 56909¹

Step-3: Factors of 56889

List of positive integer factors of 56889 that divides 56889 without a remainder.

1, 3, 7, 9, 21, 27, 43, 49, 63, 129, 147, 189, 301, 387, 441, 903, 1161, 1323, 2107, 2709, 6321, 8127, 18963

Step-4: Factors of 56909

List of positive integer factors of 56909 that divides 56889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56889 and 56909. The biggest common factor number is the GCF number.
So the greatest common factor 56889 and 56909 is 1.

Also check out the Least Common Multiple of 56889 and 56909