What is the Greatest Common Factor of 55881 and 55890?

Greatest common factor (GCF) of 55881 and 55890 is 9.

GCF(55881,55890) = 9

We will now calculate the prime factors of 55881 and 55890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55881 and 55890.

How to find the GCF of 55881 and 55890?

We will first find the prime factorization of 55881 and 55890. After we will calculate the factors of 55881 and 55890 and find the biggest common factor number .

Step-1: Prime Factorization of 55881

Prime factors of 55881 are 3, 7, 887. Prime factorization of 55881 in exponential form is:

55881 = 3² × 7¹ × 887¹

Step-2: Prime Factorization of 55890

Prime factors of 55890 are 2, 3, 5, 23. Prime factorization of 55890 in exponential form is:

55890 = 2¹ × 3⁵ × 5¹ × 23¹

Step-3: Factors of 55881

List of positive integer factors of 55881 that divides 55881 without a remainder.

1, 3, 7, 9, 21, 63, 887, 2661, 6209, 7983, 18627

Step-4: Factors of 55890

List of positive integer factors of 55890 that divides 55881 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 81, 90, 115, 135, 138, 162, 207, 230, 243, 270, 345, 405, 414, 486, 621, 690, 810, 1035, 1215, 1242, 1863, 2070, 2430, 3105, 3726, 5589, 6210, 9315, 11178, 18630, 27945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55881 and 55890. The biggest common factor number is the GCF number.
So the greatest common factor 55881 and 55890 is 9.

Also check out the Least Common Multiple of 55881 and 55890