What is the Greatest Common Factor of 23488 and 23505?

Greatest common factor (GCF) of 23488 and 23505 is 1.

GCF(23488,23505) = 1

We will now calculate the prime factors of 23488 and 23505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23488 and 23505.

How to find the GCF of 23488 and 23505?

We will first find the prime factorization of 23488 and 23505. After we will calculate the factors of 23488 and 23505 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 23505

Prime factors of 23505 are 3, 5, 1567. Prime factorization of 23505 in exponential form is:

23505 = 3¹ × 5¹ × 1567¹

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 23505

List of positive integer factors of 23505 that divides 23488 without a remainder.

1, 3, 5, 15, 1567, 4701, 7835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23488 and 23505. The biggest common factor number is the GCF number.
So the greatest common factor 23488 and 23505 is 1.

Also check out the Least Common Multiple of 23488 and 23505