What is the Greatest Common Factor of 8723 and 8733?

Greatest common factor (GCF) of 8723 and 8733 is 1.

GCF(8723,8733) = 1

We will now calculate the prime factors of 8723 and 8733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8723 and 8733.

How to find the GCF of 8723 and 8733?

We will first find the prime factorization of 8723 and 8733. After we will calculate the factors of 8723 and 8733 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 8733

Prime factors of 8733 are 3, 41, 71. Prime factorization of 8733 in exponential form is:

8733 = 3¹ × 41¹ × 71¹

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 8733

List of positive integer factors of 8733 that divides 8723 without a remainder.

1, 3, 41, 71, 123, 213, 2911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8723 and 8733. The biggest common factor number is the GCF number.
So the greatest common factor 8723 and 8733 is 1.

Also check out the Least Common Multiple of 8723 and 8733