What is the Greatest Common Factor of 27886 and 27900?

Greatest common factor (GCF) of 27886 and 27900 is 2.

GCF(27886,27900) = 2

We will now calculate the prime factors of 27886 and 27900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27886 and 27900.

How to find the GCF of 27886 and 27900?

We will first find the prime factorization of 27886 and 27900. After we will calculate the factors of 27886 and 27900 and find the biggest common factor number .

Step-1: Prime Factorization of 27886

Prime factors of 27886 are 2, 73, 191. Prime factorization of 27886 in exponential form is:

27886 = 2¹ × 73¹ × 191¹

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 27886

List of positive integer factors of 27886 that divides 27886 without a remainder.

1, 2, 73, 146, 191, 382, 13943

Step-4: Factors of 27900

List of positive integer factors of 27900 that divides 27886 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 27886 and 27900. The biggest common factor number is the GCF number.
So the greatest common factor 27886 and 27900 is 2.

Also check out the Least Common Multiple of 27886 and 27900