What is the Greatest Common Factor of 55800 and 55818?

Greatest common factor (GCF) of 55800 and 55818 is 18.

GCF(55800,55818) = 18

We will now calculate the prime factors of 55800 and 55818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55800 and 55818.

How to find the GCF of 55800 and 55818?

We will first find the prime factorization of 55800 and 55818. After we will calculate the factors of 55800 and 55818 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 55818

Prime factors of 55818 are 2, 3, 7, 443. Prime factorization of 55818 in exponential form is:

55818 = 2¹ × 3² × 7¹ × 443¹

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 55818

List of positive integer factors of 55818 that divides 55800 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 443, 886, 1329, 2658, 3101, 3987, 6202, 7974, 9303, 18606, 27909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55800 and 55818. The biggest common factor number is the GCF number.
So the greatest common factor 55800 and 55818 is 18.

Also check out the Least Common Multiple of 55800 and 55818