What is the Greatest Common Factor of 18774 and 18794?

Greatest common factor (GCF) of 18774 and 18794 is 2.

GCF(18774,18794) = 2

We will now calculate the prime factors of 18774 and 18794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18794.

How to find the GCF of 18774 and 18794?

We will first find the prime factorization of 18774 and 18794. After we will calculate the factors of 18774 and 18794 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 18794

Prime factors of 18794 are 2, 9397. Prime factorization of 18794 in exponential form is:

18794 = 2¹ × 9397¹

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 18794

List of positive integer factors of 18794 that divides 18774 without a remainder.

1, 2, 9397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18794. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18794 is 2.

Also check out the Least Common Multiple of 18774 and 18794