What is the Greatest Common Factor of 10806 and 10825?

Greatest common factor (GCF) of 10806 and 10825 is 1.

GCF(10806,10825) = 1

We will now calculate the prime factors of 10806 and 10825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10806 and 10825.

How to find the GCF of 10806 and 10825?

We will first find the prime factorization of 10806 and 10825. After we will calculate the factors of 10806 and 10825 and find the biggest common factor number .

Step-1: Prime Factorization of 10806

Prime factors of 10806 are 2, 3, 1801. Prime factorization of 10806 in exponential form is:

10806 = 2¹ × 3¹ × 1801¹

Step-2: Prime Factorization of 10825

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

10825 = 5² × 433¹

Step-3: Factors of 10806

List of positive integer factors of 10806 that divides 10806 without a remainder.

1, 2, 3, 6, 1801, 3602, 5403

Step-4: Factors of 10825

List of positive integer factors of 10825 that divides 10806 without a remainder.

1, 5, 25, 433, 2165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10806 and 10825. The biggest common factor number is the GCF number.
So the greatest common factor 10806 and 10825 is 1.

Also check out the Least Common Multiple of 10806 and 10825