What is the Greatest Common Factor of 23098 and 23104?

Greatest common factor (GCF) of 23098 and 23104 is 2.

GCF(23098,23104) = 2

We will now calculate the prime factors of 23098 and 23104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23098 and 23104.

How to find the GCF of 23098 and 23104?

We will first find the prime factorization of 23098 and 23104. After we will calculate the factors of 23098 and 23104 and find the biggest common factor number .

Step-1: Prime Factorization of 23098

Prime factors of 23098 are 2, 11549. Prime factorization of 23098 in exponential form is:

23098 = 2¹ × 11549¹

Step-2: Prime Factorization of 23104

Prime factors of 23104 are 2, 19. Prime factorization of 23104 in exponential form is:

23104 = 2⁶ × 19²

Step-3: Factors of 23098

List of positive integer factors of 23098 that divides 23098 without a remainder.

1, 2, 11549

Step-4: Factors of 23104

List of positive integer factors of 23104 that divides 23098 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 361, 608, 722, 1216, 1444, 2888, 5776, 11552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23098 and 23104. The biggest common factor number is the GCF number.
So the greatest common factor 23098 and 23104 is 2.

Also check out the Least Common Multiple of 23098 and 23104