What is the Greatest Common Factor of 55880 and 55891?

Greatest common factor (GCF) of 55880 and 55891 is 11.

GCF(55880,55891) = 11

We will now calculate the prime factors of 55880 and 55891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55880 and 55891.

How to find the GCF of 55880 and 55891?

We will first find the prime factorization of 55880 and 55891. After we will calculate the factors of 55880 and 55891 and find the biggest common factor number .

Step-1: Prime Factorization of 55880

Prime factors of 55880 are 2, 5, 11, 127. Prime factorization of 55880 in exponential form is:

55880 = 2³ × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 55891

Prime factors of 55891 are 11, 5081. Prime factorization of 55891 in exponential form is:

55891 = 11¹ × 5081¹

Step-3: Factors of 55880

List of positive integer factors of 55880 that divides 55880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 127, 220, 254, 440, 508, 635, 1016, 1270, 1397, 2540, 2794, 5080, 5588, 6985, 11176, 13970, 27940

Step-4: Factors of 55891

List of positive integer factors of 55891 that divides 55880 without a remainder.

1, 11, 5081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55880 and 55891. The biggest common factor number is the GCF number.
So the greatest common factor 55880 and 55891 is 11.

Also check out the Least Common Multiple of 55880 and 55891