What is the Greatest Common Factor of 8729 and 8743?

Greatest common factor (GCF) of 8729 and 8743 is 7.

GCF(8729,8743) = 7

We will now calculate the prime factors of 8729 and 8743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8729 and 8743.

How to find the GCF of 8729 and 8743?

We will first find the prime factorization of 8729 and 8743. After we will calculate the factors of 8729 and 8743 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8743

Prime factors of 8743 are 7, 1249. Prime factorization of 8743 in exponential form is:

8743 = 7¹ × 1249¹

Step-3: Factors of 8729

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

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

Step-4: Factors of 8743

List of positive integer factors of 8743 that divides 8729 without a remainder.

1, 7, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8729 and 8743. The biggest common factor number is the GCF number.
So the greatest common factor 8729 and 8743 is 7.

Also check out the Least Common Multiple of 8729 and 8743