What is the Greatest Common Factor of 27900 and 27918?

Greatest common factor (GCF) of 27900 and 27918 is 18.

GCF(27900,27918) = 18

We will now calculate the prime factors of 27900 and 27918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27900 and 27918.

How to find the GCF of 27900 and 27918?

We will first find the prime factorization of 27900 and 27918. After we will calculate the factors of 27900 and 27918 and find the biggest common factor number .

Step-1: Prime Factorization of 27900

Prime factors of 27900 are 2, 3, 5, 31. Prime factorization of 27900 in exponential form is:

27900 = 2² × 3² × 5² × 31¹

Step-2: Prime Factorization of 27918

Prime factors of 27918 are 2, 3, 11, 47. Prime factorization of 27918 in exponential form is:

27918 = 2¹ × 3³ × 11¹ × 47¹

Step-3: Factors of 27900

List of positive integer factors of 27900 that divides 27900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 31, 36, 45, 50, 60, 62, 75, 90, 93, 100, 124, 150, 155, 180, 186, 225, 279, 300, 310, 372, 450, 465, 558, 620, 775, 900, 930, 1116, 1395, 1550, 1860, 2325, 2790, 3100, 4650, 5580, 6975, 9300, 13950

Step-4: Factors of 27918

List of positive integer factors of 27918 that divides 27900 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 47, 54, 66, 94, 99, 141, 198, 282, 297, 423, 517, 594, 846, 1034, 1269, 1551, 2538, 3102, 4653, 9306, 13959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27900 and 27918. The biggest common factor number is the GCF number.
So the greatest common factor 27900 and 27918 is 18.

Also check out the Least Common Multiple of 27900 and 27918