What is the Greatest Common Factor of 55782 and 55800?

Greatest common factor (GCF) of 55782 and 55800 is 18.

GCF(55782,55800) = 18

We will now calculate the prime factors of 55782 and 55800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55782 and 55800.

How to find the GCF of 55782 and 55800?

We will first find the prime factorization of 55782 and 55800. After we will calculate the factors of 55782 and 55800 and find the biggest common factor number .

Step-1: Prime Factorization of 55782

Prime factors of 55782 are 2, 3, 1033. Prime factorization of 55782 in exponential form is:

55782 = 2¹ × 3³ × 1033¹

Step-2: 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-3: Factors of 55782

List of positive integer factors of 55782 that divides 55782 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1033, 2066, 3099, 6198, 9297, 18594, 27891

Step-4: Factors of 55800

List of positive integer factors of 55800 that divides 55782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55782 and 55800. The biggest common factor number is the GCF number.
So the greatest common factor 55782 and 55800 is 18.

Also check out the Least Common Multiple of 55782 and 55800