What is the Greatest Common Factor of 55904 and 55912?

Greatest common factor (GCF) of 55904 and 55912 is 8.

GCF(55904,55912) = 8

We will now calculate the prime factors of 55904 and 55912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55904 and 55912.

How to find the GCF of 55904 and 55912?

We will first find the prime factorization of 55904 and 55912. After we will calculate the factors of 55904 and 55912 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 55912

Prime factors of 55912 are 2, 29, 241. Prime factorization of 55912 in exponential form is:

55912 = 2³ × 29¹ × 241¹

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 55912

List of positive integer factors of 55912 that divides 55904 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 241, 482, 964, 1928, 6989, 13978, 27956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55904 and 55912. The biggest common factor number is the GCF number.
So the greatest common factor 55904 and 55912 is 8.

Also check out the Least Common Multiple of 55904 and 55912