What is the Greatest Common Factor of 8723 and 8729?

Greatest common factor (GCF) of 8723 and 8729 is 1.

GCF(8723,8729) = 1

We will now calculate the prime factors of 8723 and 8729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8723 and 8729.

How to find the GCF of 8723 and 8729?

We will first find the prime factorization of 8723 and 8729. After we will calculate the factors of 8723 and 8729 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 8729

Prime factors of 8729 are 7, 29, 43. Prime factorization of 8729 in exponential form is:

8729 = 7¹ × 29¹ × 43¹

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 8729

List of positive integer factors of 8729 that divides 8723 without a remainder.

1, 7, 29, 43, 203, 301, 1247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8723 and 8729. The biggest common factor number is the GCF number.
So the greatest common factor 8723 and 8729 is 1.

Also check out the Least Common Multiple of 8723 and 8729