What is the Greatest Common Factor of 18724 and 18730?

Greatest common factor (GCF) of 18724 and 18730 is 2.

GCF(18724,18730) = 2

We will now calculate the prime factors of 18724 and 18730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18724 and 18730.

How to find the GCF of 18724 and 18730?

We will first find the prime factorization of 18724 and 18730. After we will calculate the factors of 18724 and 18730 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 18730

Prime factors of 18730 are 2, 5, 1873. Prime factorization of 18730 in exponential form is:

18730 = 2¹ × 5¹ × 1873¹

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 18730

List of positive integer factors of 18730 that divides 18724 without a remainder.

1, 2, 5, 10, 1873, 3746, 9365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18724 and 18730. The biggest common factor number is the GCF number.
So the greatest common factor 18724 and 18730 is 2.

Also check out the Least Common Multiple of 18724 and 18730