What is the Greatest Common Factor of 17875 and 17889?

Greatest common factor (GCF) of 17875 and 17889 is 1.

GCF(17875,17889) = 1

We will now calculate the prime factors of 17875 and 17889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17875 and 17889.

How to find the GCF of 17875 and 17889?

We will first find the prime factorization of 17875 and 17889. After we will calculate the factors of 17875 and 17889 and find the biggest common factor number .

Step-1: Prime Factorization of 17875

Prime factors of 17875 are 5, 11, 13. Prime factorization of 17875 in exponential form is:

17875 = 5³ × 11¹ × 13¹

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 17875

List of positive integer factors of 17875 that divides 17875 without a remainder.

1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 715, 1375, 1625, 3575

Step-4: Factors of 17889

List of positive integer factors of 17889 that divides 17875 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17875 and 17889. The biggest common factor number is the GCF number.
So the greatest common factor 17875 and 17889 is 1.

Also check out the Least Common Multiple of 17875 and 17889