What is the Greatest Common Factor of 56889 and 56903?

Greatest common factor (GCF) of 56889 and 56903 is 7.

GCF(56889,56903) = 7

We will now calculate the prime factors of 56889 and 56903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56889 and 56903.

How to find the GCF of 56889 and 56903?

We will first find the prime factorization of 56889 and 56903. After we will calculate the factors of 56889 and 56903 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 56903

Prime factors of 56903 are 7, 11, 739. Prime factorization of 56903 in exponential form is:

56903 = 7¹ × 11¹ × 739¹

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 56903

List of positive integer factors of 56903 that divides 56889 without a remainder.

1, 7, 11, 77, 739, 5173, 8129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56889 and 56903. The biggest common factor number is the GCF number.
So the greatest common factor 56889 and 56903 is 7.

Also check out the Least Common Multiple of 56889 and 56903