What is the Greatest Common Factor of 17871 and 17889?

Greatest common factor (GCF) of 17871 and 17889 is 3.

GCF(17871,17889) = 3

We will now calculate the prime factors of 17871 and 17889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17871 and 17889.

How to find the GCF of 17871 and 17889?

We will first find the prime factorization of 17871 and 17889. After we will calculate the factors of 17871 and 17889 and find the biggest common factor number .

Step-1: Prime Factorization of 17871

Prime factors of 17871 are 3, 7, 23, 37. Prime factorization of 17871 in exponential form is:

17871 = 3¹ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 17889

Prime factors of 17889 are 3, 67, 89. Prime factorization of 17889 in exponential form is:

17889 = 3¹ × 67¹ × 89¹

Step-3: Factors of 17871

List of positive integer factors of 17871 that divides 17871 without a remainder.

1, 3, 7, 21, 23, 37, 69, 111, 161, 259, 483, 777, 851, 2553, 5957

Step-4: Factors of 17889

List of positive integer factors of 17889 that divides 17871 without a remainder.

1, 3, 67, 89, 201, 267, 5963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17871 and 17889. The biggest common factor number is the GCF number.
So the greatest common factor 17871 and 17889 is 3.

Also check out the Least Common Multiple of 17871 and 17889