What is the Greatest Common Factor of 8723 and 8731?

Greatest common factor (GCF) of 8723 and 8731 is 1.

GCF(8723,8731) = 1

We will now calculate the prime factors of 8723 and 8731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8723 and 8731.

How to find the GCF of 8723 and 8731?

We will first find the prime factorization of 8723 and 8731. After we will calculate the factors of 8723 and 8731 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8731

Prime factors of 8731 are 8731. Prime factorization of 8731 in exponential form is:

8731 = 8731¹

Step-3: Factors of 8723

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

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

Step-4: Factors of 8731

List of positive integer factors of 8731 that divides 8723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8723 and 8731. The biggest common factor number is the GCF number.
So the greatest common factor 8723 and 8731 is 1.

Also check out the Least Common Multiple of 8723 and 8731