What is the Greatest Common Factor of 55875 and 55890?

Greatest common factor (GCF) of 55875 and 55890 is 15.

GCF(55875,55890) = 15

We will now calculate the prime factors of 55875 and 55890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55875 and 55890.

How to find the GCF of 55875 and 55890?

We will first find the prime factorization of 55875 and 55890. After we will calculate the factors of 55875 and 55890 and find the biggest common factor number .

Step-1: Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 3¹ × 5³ × 149¹

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 55875

List of positive integer factors of 55875 that divides 55875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625

Step-4: Factors of 55890

List of positive integer factors of 55890 that divides 55875 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 55875 and 55890. The biggest common factor number is the GCF number.
So the greatest common factor 55875 and 55890 is 15.

Also check out the Least Common Multiple of 55875 and 55890