What is the Greatest Common Factor of 10875 and 10888?

Greatest common factor (GCF) of 10875 and 10888 is 1.

GCF(10875,10888) = 1

We will now calculate the prime factors of 10875 and 10888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10875 and 10888.

How to find the GCF of 10875 and 10888?

We will first find the prime factorization of 10875 and 10888. After we will calculate the factors of 10875 and 10888 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 10888

Prime factors of 10888 are 2, 1361. Prime factorization of 10888 in exponential form is:

10888 = 2³ × 1361¹

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 10888

List of positive integer factors of 10888 that divides 10875 without a remainder.

1, 2, 4, 8, 1361, 2722, 5444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10875 and 10888. The biggest common factor number is the GCF number.
So the greatest common factor 10875 and 10888 is 1.

Also check out the Least Common Multiple of 10875 and 10888