What is the Greatest Common Factor of 10865 and 10875?

Greatest common factor (GCF) of 10865 and 10875 is 5.

GCF(10865,10875) = 5

We will now calculate the prime factors of 10865 and 10875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10865 and 10875.

How to find the GCF of 10865 and 10875?

We will first find the prime factorization of 10865 and 10875. After we will calculate the factors of 10865 and 10875 and find the biggest common factor number .

Step-1: Prime Factorization of 10865

Prime factors of 10865 are 5, 41, 53. Prime factorization of 10865 in exponential form is:

10865 = 5¹ × 41¹ × 53¹

Step-2: 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-3: Factors of 10865

List of positive integer factors of 10865 that divides 10865 without a remainder.

1, 5, 41, 53, 205, 265, 2173

Step-4: Factors of 10875

List of positive integer factors of 10875 that divides 10865 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10865 and 10875. The biggest common factor number is the GCF number.
So the greatest common factor 10865 and 10875 is 5.

Also check out the Least Common Multiple of 10865 and 10875