What is the Greatest Common Factor of 18891 and 18910?

Greatest common factor (GCF) of 18891 and 18910 is 1.

GCF(18891,18910) = 1

We will now calculate the prime factors of 18891 and 18910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18891 and 18910.

How to find the GCF of 18891 and 18910?

We will first find the prime factorization of 18891 and 18910. After we will calculate the factors of 18891 and 18910 and find the biggest common factor number .

Step-1: Prime Factorization of 18891

Prime factors of 18891 are 3, 2099. Prime factorization of 18891 in exponential form is:

18891 = 3² × 2099¹

Step-2: Prime Factorization of 18910

Prime factors of 18910 are 2, 5, 31, 61. Prime factorization of 18910 in exponential form is:

18910 = 2¹ × 5¹ × 31¹ × 61¹

Step-3: Factors of 18891

List of positive integer factors of 18891 that divides 18891 without a remainder.

1, 3, 9, 2099, 6297

Step-4: Factors of 18910

List of positive integer factors of 18910 that divides 18891 without a remainder.

1, 2, 5, 10, 31, 61, 62, 122, 155, 305, 310, 610, 1891, 3782, 9455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18891 and 18910. The biggest common factor number is the GCF number.
So the greatest common factor 18891 and 18910 is 1.

Also check out the Least Common Multiple of 18891 and 18910