What is the Greatest Common Factor of 18687 and 18702?

Greatest common factor (GCF) of 18687 and 18702 is 3.

GCF(18687,18702) = 3

We will now calculate the prime factors of 18687 and 18702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18687 and 18702.

How to find the GCF of 18687 and 18702?

We will first find the prime factorization of 18687 and 18702. After we will calculate the factors of 18687 and 18702 and find the biggest common factor number .

Step-1: Prime Factorization of 18687

Prime factors of 18687 are 3, 6229. Prime factorization of 18687 in exponential form is:

18687 = 3¹ × 6229¹

Step-2: Prime Factorization of 18702

Prime factors of 18702 are 2, 3, 1039. Prime factorization of 18702 in exponential form is:

18702 = 2¹ × 3² × 1039¹

Step-3: Factors of 18687

List of positive integer factors of 18687 that divides 18687 without a remainder.

1, 3, 6229

Step-4: Factors of 18702

List of positive integer factors of 18702 that divides 18687 without a remainder.

1, 2, 3, 6, 9, 18, 1039, 2078, 3117, 6234, 9351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18687 and 18702. The biggest common factor number is the GCF number.
So the greatest common factor 18687 and 18702 is 3.

Also check out the Least Common Multiple of 18687 and 18702