What is the Greatest Common Factor of 23498 and 23511?

Greatest common factor (GCF) of 23498 and 23511 is 1.

GCF(23498,23511) = 1

We will now calculate the prime factors of 23498 and 23511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23498 and 23511.

How to find the GCF of 23498 and 23511?

We will first find the prime factorization of 23498 and 23511. After we will calculate the factors of 23498 and 23511 and find the biggest common factor number .

Step-1: Prime Factorization of 23498

Prime factors of 23498 are 2, 31, 379. Prime factorization of 23498 in exponential form is:

23498 = 2¹ × 31¹ × 379¹

Step-2: Prime Factorization of 23511

Prime factors of 23511 are 3, 17, 461. Prime factorization of 23511 in exponential form is:

23511 = 3¹ × 17¹ × 461¹

Step-3: Factors of 23498

List of positive integer factors of 23498 that divides 23498 without a remainder.

1, 2, 31, 62, 379, 758, 11749

Step-4: Factors of 23511

List of positive integer factors of 23511 that divides 23498 without a remainder.

1, 3, 17, 51, 461, 1383, 7837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23498 and 23511. The biggest common factor number is the GCF number.
So the greatest common factor 23498 and 23511 is 1.

Also check out the Least Common Multiple of 23498 and 23511