What is the Greatest Common Factor of 55875 and 55880?

Greatest common factor (GCF) of 55875 and 55880 is 5.

GCF(55875,55880) = 5

We will now calculate the prime factors of 55875 and 55880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55875 and 55880.

How to find the GCF of 55875 and 55880?

We will first find the prime factorization of 55875 and 55880. After we will calculate the factors of 55875 and 55880 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 55880

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

55880 = 2³ × 5¹ × 11¹ × 127¹

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 55880

List of positive integer factors of 55880 that divides 55875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55875 and 55880. The biggest common factor number is the GCF number.
So the greatest common factor 55875 and 55880 is 5.

Also check out the Least Common Multiple of 55875 and 55880