What is the Greatest Common Factor of 27795 and 27800?

Greatest common factor (GCF) of 27795 and 27800 is 5.

GCF(27795,27800) = 5

We will now calculate the prime factors of 27795 and 27800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27795 and 27800.

How to find the GCF of 27795 and 27800?

We will first find the prime factorization of 27795 and 27800. After we will calculate the factors of 27795 and 27800 and find the biggest common factor number .

Step-1: Prime Factorization of 27795

Prime factors of 27795 are 3, 5, 17, 109. Prime factorization of 27795 in exponential form is:

27795 = 3¹ × 5¹ × 17¹ × 109¹

Step-2: Prime Factorization of 27800

Prime factors of 27800 are 2, 5, 139. Prime factorization of 27800 in exponential form is:

27800 = 2³ × 5² × 139¹

Step-3: Factors of 27795

List of positive integer factors of 27795 that divides 27795 without a remainder.

1, 3, 5, 15, 17, 51, 85, 109, 255, 327, 545, 1635, 1853, 5559, 9265

Step-4: Factors of 27800

List of positive integer factors of 27800 that divides 27795 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 556, 695, 1112, 1390, 2780, 3475, 5560, 6950, 13900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27795 and 27800. The biggest common factor number is the GCF number.
So the greatest common factor 27795 and 27800 is 5.

Also check out the Least Common Multiple of 27795 and 27800