What is the Greatest Common Factor of 27993 and 27998?

Greatest common factor (GCF) of 27993 and 27998 is 1.

GCF(27993,27998) = 1

We will now calculate the prime factors of 27993 and 27998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27993 and 27998.

How to find the GCF of 27993 and 27998?

We will first find the prime factorization of 27993 and 27998. After we will calculate the factors of 27993 and 27998 and find the biggest common factor number .

Step-1: Prime Factorization of 27993

Prime factors of 27993 are 3, 7, 31, 43. Prime factorization of 27993 in exponential form is:

27993 = 3¹ × 7¹ × 31¹ × 43¹

Step-2: Prime Factorization of 27998

Prime factors of 27998 are 2, 13999. Prime factorization of 27998 in exponential form is:

27998 = 2¹ × 13999¹

Step-3: Factors of 27993

List of positive integer factors of 27993 that divides 27993 without a remainder.

1, 3, 7, 21, 31, 43, 93, 129, 217, 301, 651, 903, 1333, 3999, 9331

Step-4: Factors of 27998

List of positive integer factors of 27998 that divides 27993 without a remainder.

1, 2, 13999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27993 and 27998. The biggest common factor number is the GCF number.
So the greatest common factor 27993 and 27998 is 1.

Also check out the Least Common Multiple of 27993 and 27998