What is the Greatest Common Factor of 55888 and 55904?

Greatest common factor (GCF) of 55888 and 55904 is 16.

GCF(55888,55904) = 16

We will now calculate the prime factors of 55888 and 55904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55888 and 55904.

How to find the GCF of 55888 and 55904?

We will first find the prime factorization of 55888 and 55904. After we will calculate the factors of 55888 and 55904 and find the biggest common factor number .

Step-1: Prime Factorization of 55888

Prime factors of 55888 are 2, 7, 499. Prime factorization of 55888 in exponential form is:

55888 = 2⁴ × 7¹ × 499¹

Step-2: Prime Factorization of 55904

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

55904 = 2⁵ × 1747¹

Step-3: Factors of 55888

List of positive integer factors of 55888 that divides 55888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 499, 998, 1996, 3493, 3992, 6986, 7984, 13972, 27944

Step-4: Factors of 55904

List of positive integer factors of 55904 that divides 55888 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55888 and 55904. The biggest common factor number is the GCF number.
So the greatest common factor 55888 and 55904 is 16.

Also check out the Least Common Multiple of 55888 and 55904