What is the Greatest Common Factor of 18774 and 18786?

Greatest common factor (GCF) of 18774 and 18786 is 6.

GCF(18774,18786) = 6

We will now calculate the prime factors of 18774 and 18786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18786.

How to find the GCF of 18774 and 18786?

We will first find the prime factorization of 18774 and 18786. After we will calculate the factors of 18774 and 18786 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 18786

Prime factors of 18786 are 2, 3, 31, 101. Prime factorization of 18786 in exponential form is:

18786 = 2¹ × 3¹ × 31¹ × 101¹

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 18786

List of positive integer factors of 18786 that divides 18774 without a remainder.

1, 2, 3, 6, 31, 62, 93, 101, 186, 202, 303, 606, 3131, 6262, 9393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18786. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18786 is 6.

Also check out the Least Common Multiple of 18774 and 18786