What is the Greatest Common Factor of 18774 and 18787?

Greatest common factor (GCF) of 18774 and 18787 is 1.

GCF(18774,18787) = 1

We will now calculate the prime factors of 18774 and 18787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18774 and 18787.

How to find the GCF of 18774 and 18787?

We will first find the prime factorization of 18774 and 18787. After we will calculate the factors of 18774 and 18787 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 18787

Prime factors of 18787 are 18787. Prime factorization of 18787 in exponential form is:

18787 = 18787¹

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 18787

List of positive integer factors of 18787 that divides 18774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18774 and 18787. The biggest common factor number is the GCF number.
So the greatest common factor 18774 and 18787 is 1.

Also check out the Least Common Multiple of 18774 and 18787