What is the Greatest Common Factor of 10875 and 10891?

Greatest common factor (GCF) of 10875 and 10891 is 1.

GCF(10875,10891) = 1

We will now calculate the prime factors of 10875 and 10891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10875 and 10891.

How to find the GCF of 10875 and 10891?

We will first find the prime factorization of 10875 and 10891. After we will calculate the factors of 10875 and 10891 and find the biggest common factor number .

Step-1: Prime Factorization of 10875

Prime factors of 10875 are 3, 5, 29. Prime factorization of 10875 in exponential form is:

10875 = 3¹ × 5³ × 29¹

Step-2: Prime Factorization of 10891

Prime factors of 10891 are 10891. Prime factorization of 10891 in exponential form is:

10891 = 10891¹

Step-3: Factors of 10875

List of positive integer factors of 10875 that divides 10875 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 125, 145, 375, 435, 725, 2175, 3625

Step-4: Factors of 10891

List of positive integer factors of 10891 that divides 10875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10875 and 10891. The biggest common factor number is the GCF number.
So the greatest common factor 10875 and 10891 is 1.

Also check out the Least Common Multiple of 10875 and 10891