What is the Greatest Common Factor of 56889 and 56895?

Greatest common factor (GCF) of 56889 and 56895 is 3.

GCF(56889,56895) = 3

We will now calculate the prime factors of 56889 and 56895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56889 and 56895.

How to find the GCF of 56889 and 56895?

We will first find the prime factorization of 56889 and 56895. After we will calculate the factors of 56889 and 56895 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 56895

Prime factors of 56895 are 3, 5, 3793. Prime factorization of 56895 in exponential form is:

56895 = 3¹ × 5¹ × 3793¹

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 56895

List of positive integer factors of 56895 that divides 56889 without a remainder.

1, 3, 5, 15, 3793, 11379, 18965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56889 and 56895. The biggest common factor number is the GCF number.
So the greatest common factor 56889 and 56895 is 3.

Also check out the Least Common Multiple of 56889 and 56895