What is the Greatest Common Factor of 23705 and 23710?

Greatest common factor (GCF) of 23705 and 23710 is 5.

GCF(23705,23710) = 5

We will now calculate the prime factors of 23705 and 23710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23705 and 23710.

How to find the GCF of 23705 and 23710?

We will first find the prime factorization of 23705 and 23710. After we will calculate the factors of 23705 and 23710 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23710

Prime factors of 23710 are 2, 5, 2371. Prime factorization of 23710 in exponential form is:

23710 = 2¹ × 5¹ × 2371¹

Step-3: Factors of 23705

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

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

Step-4: Factors of 23710

List of positive integer factors of 23710 that divides 23705 without a remainder.

1, 2, 5, 10, 2371, 4742, 11855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23705 and 23710. The biggest common factor number is the GCF number.
So the greatest common factor 23705 and 23710 is 5.

Also check out the Least Common Multiple of 23705 and 23710