What is the Greatest Common Factor of 18678 and 18689?

Greatest common factor (GCF) of 18678 and 18689 is 11.

GCF(18678,18689) = 11

We will now calculate the prime factors of 18678 and 18689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18678 and 18689.

How to find the GCF of 18678 and 18689?

We will first find the prime factorization of 18678 and 18689. After we will calculate the factors of 18678 and 18689 and find the biggest common factor number .

Step-1: Prime Factorization of 18678

Prime factors of 18678 are 2, 3, 11, 283. Prime factorization of 18678 in exponential form is:

18678 = 2¹ × 3¹ × 11¹ × 283¹

Step-2: Prime Factorization of 18689

Prime factors of 18689 are 11, 1699. Prime factorization of 18689 in exponential form is:

18689 = 11¹ × 1699¹

Step-3: Factors of 18678

List of positive integer factors of 18678 that divides 18678 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 283, 566, 849, 1698, 3113, 6226, 9339

Step-4: Factors of 18689

List of positive integer factors of 18689 that divides 18678 without a remainder.

1, 11, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18678 and 18689. The biggest common factor number is the GCF number.
So the greatest common factor 18678 and 18689 is 11.

Also check out the Least Common Multiple of 18678 and 18689