What is the Greatest Common Factor of 55900 and 55913?

Greatest common factor (GCF) of 55900 and 55913 is 13.

GCF(55900,55913) = 13

We will now calculate the prime factors of 55900 and 55913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55900 and 55913.

How to find the GCF of 55900 and 55913?

We will first find the prime factorization of 55900 and 55913. After we will calculate the factors of 55900 and 55913 and find the biggest common factor number .

Step-1: Prime Factorization of 55900

Prime factors of 55900 are 2, 5, 13, 43. Prime factorization of 55900 in exponential form is:

55900 = 2² × 5² × 13¹ × 43¹

Step-2: Prime Factorization of 55913

Prime factors of 55913 are 11, 13, 17, 23. Prime factorization of 55913 in exponential form is:

55913 = 11¹ × 13¹ × 17¹ × 23¹

Step-3: Factors of 55900

List of positive integer factors of 55900 that divides 55900 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 43, 50, 52, 65, 86, 100, 130, 172, 215, 260, 325, 430, 559, 650, 860, 1075, 1118, 1300, 2150, 2236, 2795, 4300, 5590, 11180, 13975, 27950

Step-4: Factors of 55913

List of positive integer factors of 55913 that divides 55900 without a remainder.

1, 11, 13, 17, 23, 143, 187, 221, 253, 299, 391, 2431, 3289, 4301, 5083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55900 and 55913. The biggest common factor number is the GCF number.
So the greatest common factor 55900 and 55913 is 13.

Also check out the Least Common Multiple of 55900 and 55913