What is the Greatest Common Factor of 23488 and 23498?

Greatest common factor (GCF) of 23488 and 23498 is 2.

GCF(23488,23498) = 2

We will now calculate the prime factors of 23488 and 23498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23488 and 23498.

How to find the GCF of 23488 and 23498?

We will first find the prime factorization of 23488 and 23498. After we will calculate the factors of 23488 and 23498 and find the biggest common factor number .

Step-1: Prime Factorization of 23488

Prime factors of 23488 are 2, 367. Prime factorization of 23488 in exponential form is:

23488 = 2⁶ × 367¹

Step-2: 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-3: Factors of 23488

List of positive integer factors of 23488 that divides 23488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744

Step-4: Factors of 23498

List of positive integer factors of 23498 that divides 23488 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23488 and 23498. The biggest common factor number is the GCF number.
So the greatest common factor 23488 and 23498 is 2.

Also check out the Least Common Multiple of 23488 and 23498