What is the Greatest Common Factor of 18724 and 18729?

Greatest common factor (GCF) of 18724 and 18729 is 1.

GCF(18724,18729) = 1

We will now calculate the prime factors of 18724 and 18729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18724 and 18729.

How to find the GCF of 18724 and 18729?

We will first find the prime factorization of 18724 and 18729. After we will calculate the factors of 18724 and 18729 and find the biggest common factor number .

Step-1: Prime Factorization of 18724

Prime factors of 18724 are 2, 31, 151. Prime factorization of 18724 in exponential form is:

18724 = 2² × 31¹ × 151¹

Step-2: Prime Factorization of 18729

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

18729 = 3² × 2081¹

Step-3: Factors of 18724

List of positive integer factors of 18724 that divides 18724 without a remainder.

1, 2, 4, 31, 62, 124, 151, 302, 604, 4681, 9362

Step-4: Factors of 18729

List of positive integer factors of 18729 that divides 18724 without a remainder.

1, 3, 9, 2081, 6243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18724 and 18729. The biggest common factor number is the GCF number.
So the greatest common factor 18724 and 18729 is 1.

Also check out the Least Common Multiple of 18724 and 18729