What is the Greatest Common Factor of 55890 and 55910?

Greatest common factor (GCF) of 55890 and 55910 is 10.

GCF(55890,55910) = 10

We will now calculate the prime factors of 55890 and 55910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55890 and 55910.

How to find the GCF of 55890 and 55910?

We will first find the prime factorization of 55890 and 55910. After we will calculate the factors of 55890 and 55910 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 55910

Prime factors of 55910 are 2, 5, 5591. Prime factorization of 55910 in exponential form is:

55910 = 2¹ × 5¹ × 5591¹

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 55910

List of positive integer factors of 55910 that divides 55890 without a remainder.

1, 2, 5, 10, 5591, 11182, 27955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55890 and 55910. The biggest common factor number is the GCF number.
So the greatest common factor 55890 and 55910 is 10.

Also check out the Least Common Multiple of 55890 and 55910