What is the Greatest Common Factor of 55890 and 55905?

Greatest common factor (GCF) of 55890 and 55905 is 15.

GCF(55890,55905) = 15

We will now calculate the prime factors of 55890 and 55905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55890 and 55905.

How to find the GCF of 55890 and 55905?

We will first find the prime factorization of 55890 and 55905. After we will calculate the factors of 55890 and 55905 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 55905

Prime factors of 55905 are 3, 5, 3727. Prime factorization of 55905 in exponential form is:

55905 = 3¹ × 5¹ × 3727¹

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 55905

List of positive integer factors of 55905 that divides 55890 without a remainder.

1, 3, 5, 15, 3727, 11181, 18635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55890 and 55905. The biggest common factor number is the GCF number.
So the greatest common factor 55890 and 55905 is 15.

Also check out the Least Common Multiple of 55890 and 55905