What is the Greatest Common Factor of 18774 and 18782?

Greatest common factor (GCF) of 18774 and 18782 is 2.

GCF(18774,18782) = 2

We will now calculate the prime factors of 18774 and 18782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18782.

How to find the GCF of 18774 and 18782?

We will first find the prime factorization of 18774 and 18782. After we will calculate the factors of 18774 and 18782 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 18782

Prime factors of 18782 are 2, 9391. Prime factorization of 18782 in exponential form is:

18782 = 2¹ × 9391¹

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 18782

List of positive integer factors of 18782 that divides 18774 without a remainder.

1, 2, 9391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18782. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18782 is 2.

Also check out the Least Common Multiple of 18774 and 18782