What is the Greatest Common Factor of 47993 and 48004?

Greatest common factor (GCF) of 47993 and 48004 is 11.

GCF(47993,48004) = 11

We will now calculate the prime factors of 47993 and 48004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47993 and 48004.

How to find the GCF of 47993 and 48004?

We will first find the prime factorization of 47993 and 48004. After we will calculate the factors of 47993 and 48004 and find the biggest common factor number .

Step-1: Prime Factorization of 47993

Prime factors of 47993 are 11, 4363. Prime factorization of 47993 in exponential form is:

47993 = 11¹ × 4363¹

Step-2: Prime Factorization of 48004

Prime factors of 48004 are 2, 11, 1091. Prime factorization of 48004 in exponential form is:

48004 = 2² × 11¹ × 1091¹

Step-3: Factors of 47993

List of positive integer factors of 47993 that divides 47993 without a remainder.

1, 11, 4363

Step-4: Factors of 48004

List of positive integer factors of 48004 that divides 47993 without a remainder.

1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001, 24002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47993 and 48004. The biggest common factor number is the GCF number.
So the greatest common factor 47993 and 48004 is 11.

Also check out the Least Common Multiple of 47993 and 48004