What is the Greatest Common Factor of 18774 and 18793?

Greatest common factor (GCF) of 18774 and 18793 is 1.

GCF(18774,18793) = 1

We will now calculate the prime factors of 18774 and 18793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18793.

How to find the GCF of 18774 and 18793?

We will first find the prime factorization of 18774 and 18793. After we will calculate the factors of 18774 and 18793 and find the biggest common factor number .

Step-1: Prime Factorization of 18774

Prime factors of 18774 are 2, 3, 7, 149. Prime factorization of 18774 in exponential form is:

18774 = 2¹ × 3² × 7¹ × 149¹

Step-2: Prime Factorization of 18793

Prime factors of 18793 are 18793. Prime factorization of 18793 in exponential form is:

18793 = 18793¹

Step-3: Factors of 18774

List of positive integer factors of 18774 that divides 18774 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 149, 298, 447, 894, 1043, 1341, 2086, 2682, 3129, 6258, 9387

Step-4: Factors of 18793

List of positive integer factors of 18793 that divides 18774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18793. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18793 is 1.

Also check out the Least Common Multiple of 18774 and 18793