What is the Greatest Common Factor of 23699 and 23705?

Greatest common factor (GCF) of 23699 and 23705 is 1.

GCF(23699,23705) = 1

We will now calculate the prime factors of 23699 and 23705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23699 and 23705.

How to find the GCF of 23699 and 23705?

We will first find the prime factorization of 23699 and 23705. After we will calculate the factors of 23699 and 23705 and find the biggest common factor number .

Step-1: Prime Factorization of 23699

Prime factors of 23699 are 13, 1823. Prime factorization of 23699 in exponential form is:

23699 = 13¹ × 1823¹

Step-2: Prime Factorization of 23705

Prime factors of 23705 are 5, 11, 431. Prime factorization of 23705 in exponential form is:

23705 = 5¹ × 11¹ × 431¹

Step-3: Factors of 23699

List of positive integer factors of 23699 that divides 23699 without a remainder.

1, 13, 1823

Step-4: Factors of 23705

List of positive integer factors of 23705 that divides 23699 without a remainder.

1, 5, 11, 55, 431, 2155, 4741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23699 and 23705. The biggest common factor number is the GCF number.
So the greatest common factor 23699 and 23705 is 1.

Also check out the Least Common Multiple of 23699 and 23705