What is the Greatest Common Factor of 18993 and 18999?

Greatest common factor (GCF) of 18993 and 18999 is 3.

GCF(18993,18999) = 3

We will now calculate the prime factors of 18993 and 18999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18993 and 18999.

How to find the GCF of 18993 and 18999?

We will first find the prime factorization of 18993 and 18999. After we will calculate the factors of 18993 and 18999 and find the biggest common factor number .

Step-1: Prime Factorization of 18993

Prime factors of 18993 are 3, 13, 487. Prime factorization of 18993 in exponential form is:

18993 = 3¹ × 13¹ × 487¹

Step-2: Prime Factorization of 18999

Prime factors of 18999 are 3, 2111. Prime factorization of 18999 in exponential form is:

18999 = 3² × 2111¹

Step-3: Factors of 18993

List of positive integer factors of 18993 that divides 18993 without a remainder.

1, 3, 13, 39, 487, 1461, 6331

Step-4: Factors of 18999

List of positive integer factors of 18999 that divides 18993 without a remainder.

1, 3, 9, 2111, 6333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18993 and 18999. The biggest common factor number is the GCF number.
So the greatest common factor 18993 and 18999 is 3.

Also check out the Least Common Multiple of 18993 and 18999