What is the Greatest Common Factor of 27975 and 27993?

Greatest common factor (GCF) of 27975 and 27993 is 3.

GCF(27975,27993) = 3

We will now calculate the prime factors of 27975 and 27993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27975 and 27993.

How to find the GCF of 27975 and 27993?

We will first find the prime factorization of 27975 and 27993. After we will calculate the factors of 27975 and 27993 and find the biggest common factor number .

Step-1: Prime Factorization of 27975

Prime factors of 27975 are 3, 5, 373. Prime factorization of 27975 in exponential form is:

27975 = 3¹ × 5² × 373¹

Step-2: 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-3: Factors of 27975

List of positive integer factors of 27975 that divides 27975 without a remainder.

1, 3, 5, 15, 25, 75, 373, 1119, 1865, 5595, 9325

Step-4: Factors of 27993

List of positive integer factors of 27993 that divides 27975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27975 and 27993. The biggest common factor number is the GCF number.
So the greatest common factor 27975 and 27993 is 3.

Also check out the Least Common Multiple of 27975 and 27993