What is the Greatest Common Factor of 55800 and 55811?

Greatest common factor (GCF) of 55800 and 55811 is 1.

GCF(55800,55811) = 1

We will now calculate the prime factors of 55800 and 55811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55800 and 55811.

How to find the GCF of 55800 and 55811?

We will first find the prime factorization of 55800 and 55811. After we will calculate the factors of 55800 and 55811 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 55811

Prime factors of 55811 are 7, 17, 67. Prime factorization of 55811 in exponential form is:

55811 = 7² × 17¹ × 67¹

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 55811

List of positive integer factors of 55811 that divides 55800 without a remainder.

1, 7, 17, 49, 67, 119, 469, 833, 1139, 3283, 7973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55800 and 55811. The biggest common factor number is the GCF number.
So the greatest common factor 55800 and 55811 is 1.

Also check out the Least Common Multiple of 55800 and 55811