What is the Greatest Common Factor of 18669 and 18683?

Greatest common factor (GCF) of 18669 and 18683 is 7.

GCF(18669,18683) = 7

We will now calculate the prime factors of 18669 and 18683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18669 and 18683.

How to find the GCF of 18669 and 18683?

We will first find the prime factorization of 18669 and 18683. After we will calculate the factors of 18669 and 18683 and find the biggest common factor number .

Step-1: Prime Factorization of 18669

Prime factors of 18669 are 3, 7, 127. Prime factorization of 18669 in exponential form is:

18669 = 3¹ × 7² × 127¹

Step-2: Prime Factorization of 18683

Prime factors of 18683 are 7, 17, 157. Prime factorization of 18683 in exponential form is:

18683 = 7¹ × 17¹ × 157¹

Step-3: Factors of 18669

List of positive integer factors of 18669 that divides 18669 without a remainder.

1, 3, 7, 21, 49, 127, 147, 381, 889, 2667, 6223

Step-4: Factors of 18683

List of positive integer factors of 18683 that divides 18669 without a remainder.

1, 7, 17, 119, 157, 1099, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18669 and 18683. The biggest common factor number is the GCF number.
So the greatest common factor 18669 and 18683 is 7.

Also check out the Least Common Multiple of 18669 and 18683