What is the Greatest Common Factor of 23084 and 23096?

Greatest common factor (GCF) of 23084 and 23096 is 4.

GCF(23084,23096) = 4

We will now calculate the prime factors of 23084 and 23096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23084 and 23096.

How to find the GCF of 23084 and 23096?

We will first find the prime factorization of 23084 and 23096. After we will calculate the factors of 23084 and 23096 and find the biggest common factor number .

Step-1: Prime Factorization of 23084

Prime factors of 23084 are 2, 29, 199. Prime factorization of 23084 in exponential form is:

23084 = 2² × 29¹ × 199¹

Step-2: Prime Factorization of 23096

Prime factors of 23096 are 2, 2887. Prime factorization of 23096 in exponential form is:

23096 = 2³ × 2887¹

Step-3: Factors of 23084

List of positive integer factors of 23084 that divides 23084 without a remainder.

1, 2, 4, 29, 58, 116, 199, 398, 796, 5771, 11542

Step-4: Factors of 23096

List of positive integer factors of 23096 that divides 23084 without a remainder.

1, 2, 4, 8, 2887, 5774, 11548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23084 and 23096. The biggest common factor number is the GCF number.
So the greatest common factor 23084 and 23096 is 4.

Also check out the Least Common Multiple of 23084 and 23096