What is the Greatest Common Factor of 27993 and 28002?

Greatest common factor (GCF) of 27993 and 28002 is 3.

GCF(27993,28002) = 3

We will now calculate the prime factors of 27993 and 28002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27993 and 28002.

How to find the GCF of 27993 and 28002?

We will first find the prime factorization of 27993 and 28002. After we will calculate the factors of 27993 and 28002 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 28002

Prime factors of 28002 are 2, 3, 13, 359. Prime factorization of 28002 in exponential form is:

28002 = 2¹ × 3¹ × 13¹ × 359¹

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 28002

List of positive integer factors of 28002 that divides 27993 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 359, 718, 1077, 2154, 4667, 9334, 14001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27993 and 28002. The biggest common factor number is the GCF number.
So the greatest common factor 27993 and 28002 is 3.

Also check out the Least Common Multiple of 27993 and 28002