What is the Greatest Common Factor of 27999 and 28003?

Greatest common factor (GCF) of 27999 and 28003 is 1.

GCF(27999,28003) = 1

We will now calculate the prime factors of 27999 and 28003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27999 and 28003.

How to find the GCF of 27999 and 28003?

We will first find the prime factorization of 27999 and 28003. After we will calculate the factors of 27999 and 28003 and find the biggest common factor number .

Step-1: Prime Factorization of 27999

Prime factors of 27999 are 3, 17, 61. Prime factorization of 27999 in exponential form is:

27999 = 3³ × 17¹ × 61¹

Step-2: Prime Factorization of 28003

Prime factors of 28003 are 41, 683. Prime factorization of 28003 in exponential form is:

28003 = 41¹ × 683¹

Step-3: Factors of 27999

List of positive integer factors of 27999 that divides 27999 without a remainder.

1, 3, 9, 17, 27, 51, 61, 153, 183, 459, 549, 1037, 1647, 3111, 9333

Step-4: Factors of 28003

List of positive integer factors of 28003 that divides 27999 without a remainder.

1, 41, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27999 and 28003. The biggest common factor number is the GCF number.
So the greatest common factor 27999 and 28003 is 1.

Also check out the Least Common Multiple of 27999 and 28003