What is the Greatest Common Factor of 8705 and 8723?

Greatest common factor (GCF) of 8705 and 8723 is 1.

GCF(8705,8723) = 1

We will now calculate the prime factors of 8705 and 8723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8705 and 8723.

How to find the GCF of 8705 and 8723?

We will first find the prime factorization of 8705 and 8723. After we will calculate the factors of 8705 and 8723 and find the biggest common factor number .

Step-1: Prime Factorization of 8705

Prime factors of 8705 are 5, 1741. Prime factorization of 8705 in exponential form is:

8705 = 5¹ × 1741¹

Step-2: Prime Factorization of 8723

Prime factors of 8723 are 11, 13, 61. Prime factorization of 8723 in exponential form is:

8723 = 11¹ × 13¹ × 61¹

Step-3: Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1, 5, 1741

Step-4: Factors of 8723

List of positive integer factors of 8723 that divides 8705 without a remainder.

1, 11, 13, 61, 143, 671, 793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8705 and 8723. The biggest common factor number is the GCF number.
So the greatest common factor 8705 and 8723 is 1.

Also check out the Least Common Multiple of 8705 and 8723