What is the Greatest Common Factor of 23705 and 23714?

Greatest common factor (GCF) of 23705 and 23714 is 1.

GCF(23705,23714) = 1

We will now calculate the prime factors of 23705 and 23714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23705 and 23714.

How to find the GCF of 23705 and 23714?

We will first find the prime factorization of 23705 and 23714. After we will calculate the factors of 23705 and 23714 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 23714

Prime factors of 23714 are 2, 71, 167. Prime factorization of 23714 in exponential form is:

23714 = 2¹ × 71¹ × 167¹

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 23714

List of positive integer factors of 23714 that divides 23705 without a remainder.

1, 2, 71, 142, 167, 334, 11857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23705 and 23714. The biggest common factor number is the GCF number.
So the greatest common factor 23705 and 23714 is 1.

Also check out the Least Common Multiple of 23705 and 23714