What is the Greatest Common Factor of 27888 and 27900?

Greatest common factor (GCF) of 27888 and 27900 is 12.

GCF(27888,27900) = 12

We will now calculate the prime factors of 27888 and 27900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27888 and 27900.

How to find the GCF of 27888 and 27900?

We will first find the prime factorization of 27888 and 27900. After we will calculate the factors of 27888 and 27900 and find the biggest common factor number .

Step-1: Prime Factorization of 27888

Prime factors of 27888 are 2, 3, 7, 83. Prime factorization of 27888 in exponential form is:

27888 = 2⁴ × 3¹ × 7¹ × 83¹

Step-2: 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-3: Factors of 27888

List of positive integer factors of 27888 that divides 27888 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 83, 84, 112, 166, 168, 249, 332, 336, 498, 581, 664, 996, 1162, 1328, 1743, 1992, 2324, 3486, 3984, 4648, 6972, 9296, 13944

Step-4: Factors of 27900

List of positive integer factors of 27900 that divides 27888 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27888 and 27900. The biggest common factor number is the GCF number.
So the greatest common factor 27888 and 27900 is 12.

Also check out the Least Common Multiple of 27888 and 27900