What is the Greatest Common Factor of 55800 and 55808?

Greatest common factor (GCF) of 55800 and 55808 is 8.

GCF(55800,55808) = 8

We will now calculate the prime factors of 55800 and 55808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55800 and 55808.

How to find the GCF of 55800 and 55808?

We will first find the prime factorization of 55800 and 55808. After we will calculate the factors of 55800 and 55808 and find the biggest common factor number .

Step-1: Prime Factorization of 55800

Prime factors of 55800 are 2, 3, 5, 31. Prime factorization of 55800 in exponential form is:

55800 = 2³ × 3² × 5² × 31¹

Step-2: Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 2⁹ × 109¹

Step-3: Factors of 55800

List of positive integer factors of 55800 that divides 55800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 31, 36, 40, 45, 50, 60, 62, 72, 75, 90, 93, 100, 120, 124, 150, 155, 180, 186, 200, 225, 248, 279, 300, 310, 360, 372, 450, 465, 558, 600, 620, 744, 775, 900, 930, 1116, 1240, 1395, 1550, 1800, 1860, 2232, 2325, 2790, 3100, 3720, 4650, 5580, 6200, 6975, 9300, 11160, 13950, 18600, 27900

Step-4: Factors of 55808

List of positive integer factors of 55808 that divides 55800 without a remainder.

1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 512, 872, 1744, 3488, 6976, 13952, 27904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55800 and 55808. The biggest common factor number is the GCF number.
So the greatest common factor 55800 and 55808 is 8.

Also check out the Least Common Multiple of 55800 and 55808