What is the Greatest Common Factor of 18676 and 18690?

Greatest common factor (GCF) of 18676 and 18690 is 14.

GCF(18676,18690) = 14

We will now calculate the prime factors of 18676 and 18690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18676 and 18690.

How to find the GCF of 18676 and 18690?

We will first find the prime factorization of 18676 and 18690. After we will calculate the factors of 18676 and 18690 and find the biggest common factor number .

Step-1: Prime Factorization of 18676

Prime factors of 18676 are 2, 7, 23, 29. Prime factorization of 18676 in exponential form is:

18676 = 2² × 7¹ × 23¹ × 29¹

Step-2: Prime Factorization of 18690

Prime factors of 18690 are 2, 3, 5, 7, 89. Prime factorization of 18690 in exponential form is:

18690 = 2¹ × 3¹ × 5¹ × 7¹ × 89¹

Step-3: Factors of 18676

List of positive integer factors of 18676 that divides 18676 without a remainder.

1, 2, 4, 7, 14, 23, 28, 29, 46, 58, 92, 116, 161, 203, 322, 406, 644, 667, 812, 1334, 2668, 4669, 9338

Step-4: Factors of 18690

List of positive integer factors of 18690 that divides 18676 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 89, 105, 178, 210, 267, 445, 534, 623, 890, 1246, 1335, 1869, 2670, 3115, 3738, 6230, 9345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18676 and 18690. The biggest common factor number is the GCF number.
So the greatest common factor 18676 and 18690 is 14.

Also check out the Least Common Multiple of 18676 and 18690