What is the Greatest Common Factor of 27675 and 27683?

Greatest common factor (GCF) of 27675 and 27683 is 1.

GCF(27675,27683) = 1

We will now calculate the prime factors of 27675 and 27683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27675 and 27683.

How to find the GCF of 27675 and 27683?

We will first find the prime factorization of 27675 and 27683. After we will calculate the factors of 27675 and 27683 and find the biggest common factor number .

Step-1: Prime Factorization of 27675

Prime factors of 27675 are 3, 5, 41. Prime factorization of 27675 in exponential form is:

27675 = 3³ × 5² × 41¹

Step-2: Prime Factorization of 27683

Prime factors of 27683 are 19, 31, 47. Prime factorization of 27683 in exponential form is:

27683 = 19¹ × 31¹ × 47¹

Step-3: Factors of 27675

List of positive integer factors of 27675 that divides 27675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 41, 45, 75, 123, 135, 205, 225, 369, 615, 675, 1025, 1107, 1845, 3075, 5535, 9225

Step-4: Factors of 27683

List of positive integer factors of 27683 that divides 27675 without a remainder.

1, 19, 31, 47, 589, 893, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27675 and 27683. The biggest common factor number is the GCF number.
So the greatest common factor 27675 and 27683 is 1.

Also check out the Least Common Multiple of 27675 and 27683