What is the Greatest Common Factor of 10873 and 10885?

Greatest common factor (GCF) of 10873 and 10885 is 1.

GCF(10873,10885) = 1

We will now calculate the prime factors of 10873 and 10885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10873 and 10885.

How to find the GCF of 10873 and 10885?

We will first find the prime factorization of 10873 and 10885. After we will calculate the factors of 10873 and 10885 and find the biggest common factor number .

Step-1: Prime Factorization of 10873

Prime factors of 10873 are 83, 131. Prime factorization of 10873 in exponential form is:

10873 = 83¹ × 131¹

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 10873

List of positive integer factors of 10873 that divides 10873 without a remainder.

1, 83, 131

Step-4: Factors of 10885

List of positive integer factors of 10885 that divides 10873 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10873 and 10885. The biggest common factor number is the GCF number.
So the greatest common factor 10873 and 10885 is 1.

Also check out the Least Common Multiple of 10873 and 10885