What is the Greatest Common Factor of 18774 and 18789?

Greatest common factor (GCF) of 18774 and 18789 is 3.

GCF(18774,18789) = 3

We will now calculate the prime factors of 18774 and 18789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18789.

How to find the GCF of 18774 and 18789?

We will first find the prime factorization of 18774 and 18789. After we will calculate the factors of 18774 and 18789 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 18789

Prime factors of 18789 are 3, 6263. Prime factorization of 18789 in exponential form is:

18789 = 3¹ × 6263¹

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 18789

List of positive integer factors of 18789 that divides 18774 without a remainder.

1, 3, 6263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18789. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18789 is 3.

Also check out the Least Common Multiple of 18774 and 18789