What is the Greatest Common Factor of 23084 and 23103?

Greatest common factor (GCF) of 23084 and 23103 is 1.

GCF(23084,23103) = 1

We will now calculate the prime factors of 23084 and 23103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23084 and 23103.

How to find the GCF of 23084 and 23103?

We will first find the prime factorization of 23084 and 23103. After we will calculate the factors of 23084 and 23103 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 23103

Prime factors of 23103 are 3, 17, 151. Prime factorization of 23103 in exponential form is:

23103 = 3² × 17¹ × 151¹

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 23103

List of positive integer factors of 23103 that divides 23084 without a remainder.

1, 3, 9, 17, 51, 151, 153, 453, 1359, 2567, 7701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23084 and 23103. The biggest common factor number is the GCF number.
So the greatest common factor 23084 and 23103 is 1.

Also check out the Least Common Multiple of 23084 and 23103