What is the Greatest Common Factor of 23499 and 23505?

Greatest common factor (GCF) of 23499 and 23505 is 3.

GCF(23499,23505) = 3

We will now calculate the prime factors of 23499 and 23505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23499 and 23505.

How to find the GCF of 23499 and 23505?

We will first find the prime factorization of 23499 and 23505. After we will calculate the factors of 23499 and 23505 and find the biggest common factor number .

Step-1: Prime Factorization of 23499

Prime factors of 23499 are 3, 7, 373. Prime factorization of 23499 in exponential form is:

23499 = 3² × 7¹ × 373¹

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 23499

List of positive integer factors of 23499 that divides 23499 without a remainder.

1, 3, 7, 9, 21, 63, 373, 1119, 2611, 3357, 7833

Step-4: Factors of 23505

List of positive integer factors of 23505 that divides 23499 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23499 and 23505. The biggest common factor number is the GCF number.
So the greatest common factor 23499 and 23505 is 3.

Also check out the Least Common Multiple of 23499 and 23505