What is the Greatest Common Factor of 23298 and 23313?

Greatest common factor (GCF) of 23298 and 23313 is 3.

GCF(23298,23313) = 3

We will now calculate the prime factors of 23298 and 23313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23298 and 23313.

How to find the GCF of 23298 and 23313?

We will first find the prime factorization of 23298 and 23313. After we will calculate the factors of 23298 and 23313 and find the biggest common factor number .

Step-1: Prime Factorization of 23298

Prime factors of 23298 are 2, 3, 11, 353. Prime factorization of 23298 in exponential form is:

23298 = 2¹ × 3¹ × 11¹ × 353¹

Step-2: Prime Factorization of 23313

Prime factors of 23313 are 3, 19, 409. Prime factorization of 23313 in exponential form is:

23313 = 3¹ × 19¹ × 409¹

Step-3: Factors of 23298

List of positive integer factors of 23298 that divides 23298 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 353, 706, 1059, 2118, 3883, 7766, 11649

Step-4: Factors of 23313

List of positive integer factors of 23313 that divides 23298 without a remainder.

1, 3, 19, 57, 409, 1227, 7771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23298 and 23313. The biggest common factor number is the GCF number.
So the greatest common factor 23298 and 23313 is 3.

Also check out the Least Common Multiple of 23298 and 23313