What is the Greatest Common Factor of 8729 and 8742?

Greatest common factor (GCF) of 8729 and 8742 is 1.

GCF(8729,8742) = 1

We will now calculate the prime factors of 8729 and 8742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8729 and 8742.

How to find the GCF of 8729 and 8742?

We will first find the prime factorization of 8729 and 8742. After we will calculate the factors of 8729 and 8742 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 8742

Prime factors of 8742 are 2, 3, 31, 47. Prime factorization of 8742 in exponential form is:

8742 = 2¹ × 3¹ × 31¹ × 47¹

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 8742

List of positive integer factors of 8742 that divides 8729 without a remainder.

1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8729 and 8742. The biggest common factor number is the GCF number.
So the greatest common factor 8729 and 8742 is 1.

Also check out the Least Common Multiple of 8729 and 8742