What is the Greatest Common Factor of 27991 and 27999?

Greatest common factor (GCF) of 27991 and 27999 is 1.

GCF(27991,27999) = 1

We will now calculate the prime factors of 27991 and 27999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27991 and 27999.

How to find the GCF of 27991 and 27999?

We will first find the prime factorization of 27991 and 27999. After we will calculate the factors of 27991 and 27999 and find the biggest common factor number .

Step-1: Prime Factorization of 27991

Prime factors of 27991 are 23, 1217. Prime factorization of 27991 in exponential form is:

27991 = 23¹ × 1217¹

Step-2: 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-3: Factors of 27991

List of positive integer factors of 27991 that divides 27991 without a remainder.

1, 23, 1217

Step-4: Factors of 27999

List of positive integer factors of 27999 that divides 27991 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27991 and 27999. The biggest common factor number is the GCF number.
So the greatest common factor 27991 and 27999 is 1.

Also check out the Least Common Multiple of 27991 and 27999