What is the Greatest Common Factor of 18774 and 18783?

Greatest common factor (GCF) of 18774 and 18783 is 9.

GCF(18774,18783) = 9

We will now calculate the prime factors of 18774 and 18783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18783.

How to find the GCF of 18774 and 18783?

We will first find the prime factorization of 18774 and 18783. After we will calculate the factors of 18774 and 18783 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 18783

Prime factors of 18783 are 3, 2087. Prime factorization of 18783 in exponential form is:

18783 = 3² × 2087¹

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 18783

List of positive integer factors of 18783 that divides 18774 without a remainder.

1, 3, 9, 2087, 6261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18783. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18783 is 9.

Also check out the Least Common Multiple of 18774 and 18783