What is the Greatest Common Factor of 10875 and 10885?

Greatest common factor (GCF) of 10875 and 10885 is 5.

GCF(10875,10885) = 5

We will now calculate the prime factors of 10875 and 10885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10875 and 10885.

How to find the GCF of 10875 and 10885?

We will first find the prime factorization of 10875 and 10885. After we will calculate the factors of 10875 and 10885 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 10885

Prime factors of 10885 are 5, 7, 311. Prime factorization of 10885 in exponential form is:

10885 = 5¹ × 7¹ × 311¹

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 10885

List of positive integer factors of 10885 that divides 10875 without a remainder.

1, 5, 7, 35, 311, 1555, 2177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10875 and 10885. The biggest common factor number is the GCF number.
So the greatest common factor 10875 and 10885 is 5.

Also check out the Least Common Multiple of 10875 and 10885