What is the Greatest Common Factor of 10875 and 10882?

Greatest common factor (GCF) of 10875 and 10882 is 1.

GCF(10875,10882) = 1

We will now calculate the prime factors of 10875 and 10882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10875 and 10882.

How to find the GCF of 10875 and 10882?

We will first find the prime factorization of 10875 and 10882. After we will calculate the factors of 10875 and 10882 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 10882

Prime factors of 10882 are 2, 5441. Prime factorization of 10882 in exponential form is:

10882 = 2¹ × 5441¹

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 10882

List of positive integer factors of 10882 that divides 10875 without a remainder.

1, 2, 5441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10875 and 10882. The biggest common factor number is the GCF number.
So the greatest common factor 10875 and 10882 is 1.

Also check out the Least Common Multiple of 10875 and 10882