What is the Greatest Common Factor of 8710 and 8723?

Greatest common factor (GCF) of 8710 and 8723 is 13.

GCF(8710,8723) = 13

We will now calculate the prime factors of 8710 and 8723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8710 and 8723.

How to find the GCF of 8710 and 8723?

We will first find the prime factorization of 8710 and 8723. After we will calculate the factors of 8710 and 8723 and find the biggest common factor number .

Step-1: Prime Factorization of 8710

Prime factors of 8710 are 2, 5, 13, 67. Prime factorization of 8710 in exponential form is:

8710 = 2¹ × 5¹ × 13¹ × 67¹

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 8710

List of positive integer factors of 8710 that divides 8710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355

Step-4: Factors of 8723

List of positive integer factors of 8723 that divides 8710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8710 and 8723. The biggest common factor number is the GCF number.
So the greatest common factor 8710 and 8723 is 13.

Also check out the Least Common Multiple of 8710 and 8723