What is the Greatest Common Factor of 55904 and 55919?

Greatest common factor (GCF) of 55904 and 55919 is 1.

GCF(55904,55919) = 1

We will now calculate the prime factors of 55904 and 55919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55904 and 55919.

How to find the GCF of 55904 and 55919?

We will first find the prime factorization of 55904 and 55919. After we will calculate the factors of 55904 and 55919 and find the biggest common factor number .

Step-1: Prime Factorization of 55904

Prime factors of 55904 are 2, 1747. Prime factorization of 55904 in exponential form is:

55904 = 2⁵ × 1747¹

Step-2: Prime Factorization of 55919

Prime factors of 55919 are 199, 281. Prime factorization of 55919 in exponential form is:

55919 = 199¹ × 281¹

Step-3: Factors of 55904

List of positive integer factors of 55904 that divides 55904 without a remainder.

1, 2, 4, 8, 16, 32, 1747, 3494, 6988, 13976, 27952

Step-4: Factors of 55919

List of positive integer factors of 55919 that divides 55904 without a remainder.

1, 199, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55904 and 55919. The biggest common factor number is the GCF number.
So the greatest common factor 55904 and 55919 is 1.

Also check out the Least Common Multiple of 55904 and 55919