What is the Greatest Common Factor of 55890 and 55900?

Greatest common factor (GCF) of 55890 and 55900 is 10.

GCF(55890,55900) = 10

We will now calculate the prime factors of 55890 and 55900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55890 and 55900.

How to find the GCF of 55890 and 55900?

We will first find the prime factorization of 55890 and 55900. After we will calculate the factors of 55890 and 55900 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 55890

List of positive integer factors of 55890 that divides 55890 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

Step-4: Factors of 55900

List of positive integer factors of 55900 that divides 55890 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55890 and 55900. The biggest common factor number is the GCF number.
So the greatest common factor 55890 and 55900 is 10.

Also check out the Least Common Multiple of 55890 and 55900