What is the Greatest Common Factor of 56889 and 56904?

Greatest common factor (GCF) of 56889 and 56904 is 3.

GCF(56889,56904) = 3

We will now calculate the prime factors of 56889 and 56904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56889 and 56904.

How to find the GCF of 56889 and 56904?

We will first find the prime factorization of 56889 and 56904. After we will calculate the factors of 56889 and 56904 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 56904

Prime factors of 56904 are 2, 3, 2371. Prime factorization of 56904 in exponential form is:

56904 = 2³ × 3¹ × 2371¹

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 56904

List of positive integer factors of 56904 that divides 56889 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2371, 4742, 7113, 9484, 14226, 18968, 28452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56889 and 56904. The biggest common factor number is the GCF number.
So the greatest common factor 56889 and 56904 is 3.

Also check out the Least Common Multiple of 56889 and 56904