What is the Greatest Common Factor of 18887 and 18901?

Greatest common factor (GCF) of 18887 and 18901 is 1.

GCF(18887,18901) = 1

We will now calculate the prime factors of 18887 and 18901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18887 and 18901.

How to find the GCF of 18887 and 18901?

We will first find the prime factorization of 18887 and 18901. After we will calculate the factors of 18887 and 18901 and find the biggest common factor number .

Step-1: Prime Factorization of 18887

Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:

18887 = 11¹ × 17¹ × 101¹

Step-2: Prime Factorization of 18901

Prime factors of 18901 are 41, 461. Prime factorization of 18901 in exponential form is:

18901 = 41¹ × 461¹

Step-3: Factors of 18887

List of positive integer factors of 18887 that divides 18887 without a remainder.

1, 11, 17, 101, 187, 1111, 1717

Step-4: Factors of 18901

List of positive integer factors of 18901 that divides 18887 without a remainder.

1, 41, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18887 and 18901. The biggest common factor number is the GCF number.
So the greatest common factor 18887 and 18901 is 1.

Also check out the Least Common Multiple of 18887 and 18901