What is the Greatest Common Factor of 23705 and 23722?

Greatest common factor (GCF) of 23705 and 23722 is 1.

GCF(23705,23722) = 1

We will now calculate the prime factors of 23705 and 23722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23705 and 23722.

How to find the GCF of 23705 and 23722?

We will first find the prime factorization of 23705 and 23722. After we will calculate the factors of 23705 and 23722 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 23722

Prime factors of 23722 are 2, 29, 409. Prime factorization of 23722 in exponential form is:

23722 = 2¹ × 29¹ × 409¹

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 23722

List of positive integer factors of 23722 that divides 23705 without a remainder.

1, 2, 29, 58, 409, 818, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23705 and 23722. The biggest common factor number is the GCF number.
So the greatest common factor 23705 and 23722 is 1.

Also check out the Least Common Multiple of 23705 and 23722