What is the Greatest Common Factor of 8707 and 8723?

Greatest common factor (GCF) of 8707 and 8723 is 1.

GCF(8707,8723) = 1

We will now calculate the prime factors of 8707 and 8723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8707 and 8723.

How to find the GCF of 8707 and 8723?

We will first find the prime factorization of 8707 and 8723. After we will calculate the factors of 8707 and 8723 and find the biggest common factor number .

Step-1: Prime Factorization of 8707

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 8707¹

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 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

Step-4: Factors of 8723

List of positive integer factors of 8723 that divides 8707 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8707 and 8723. The biggest common factor number is the GCF number.
So the greatest common factor 8707 and 8723 is 1.

Also check out the Least Common Multiple of 8707 and 8723