What is the Greatest Common Factor of 10825 and 10844?

Greatest common factor (GCF) of 10825 and 10844 is 1.

GCF(10825,10844) = 1

We will now calculate the prime factors of 10825 and 10844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10825 and 10844.

How to find the GCF of 10825 and 10844?

We will first find the prime factorization of 10825 and 10844. After we will calculate the factors of 10825 and 10844 and find the biggest common factor number .

Step-1: Prime Factorization of 10825

Prime factors of 10825 are 5, 433. Prime factorization of 10825 in exponential form is:

10825 = 5² × 433¹

Step-2: Prime Factorization of 10844

Prime factors of 10844 are 2, 2711. Prime factorization of 10844 in exponential form is:

10844 = 2² × 2711¹

Step-3: Factors of 10825

List of positive integer factors of 10825 that divides 10825 without a remainder.

1, 5, 25, 433, 2165

Step-4: Factors of 10844

List of positive integer factors of 10844 that divides 10825 without a remainder.

1, 2, 4, 2711, 5422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10825 and 10844. The biggest common factor number is the GCF number.
So the greatest common factor 10825 and 10844 is 1.

Also check out the Least Common Multiple of 10825 and 10844