What is the Greatest Common Factor of 18729 and 18746?

Greatest common factor (GCF) of 18729 and 18746 is 1.

GCF(18729,18746) = 1

We will now calculate the prime factors of 18729 and 18746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18729 and 18746.

How to find the GCF of 18729 and 18746?

We will first find the prime factorization of 18729 and 18746. After we will calculate the factors of 18729 and 18746 and find the biggest common factor number .

Step-1: Prime Factorization of 18729

Prime factors of 18729 are 3, 2081. Prime factorization of 18729 in exponential form is:

18729 = 3² × 2081¹

Step-2: Prime Factorization of 18746

Prime factors of 18746 are 2, 7, 13, 103. Prime factorization of 18746 in exponential form is:

18746 = 2¹ × 7¹ × 13¹ × 103¹

Step-3: Factors of 18729

List of positive integer factors of 18729 that divides 18729 without a remainder.

1, 3, 9, 2081, 6243

Step-4: Factors of 18746

List of positive integer factors of 18746 that divides 18729 without a remainder.

1, 2, 7, 13, 14, 26, 91, 103, 182, 206, 721, 1339, 1442, 2678, 9373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18729 and 18746. The biggest common factor number is the GCF number.
So the greatest common factor 18729 and 18746 is 1.

Also check out the Least Common Multiple of 18729 and 18746