What is the Greatest Common Factor of 10808 and 10825?

Greatest common factor (GCF) of 10808 and 10825 is 1.

GCF(10808,10825) = 1

We will now calculate the prime factors of 10808 and 10825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10808 and 10825.

How to find the GCF of 10808 and 10825?

We will first find the prime factorization of 10808 and 10825. After we will calculate the factors of 10808 and 10825 and find the biggest common factor number .

Step-1: Prime Factorization of 10808

Prime factors of 10808 are 2, 7, 193. Prime factorization of 10808 in exponential form is:

10808 = 2³ × 7¹ × 193¹

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 10808

List of positive integer factors of 10808 that divides 10808 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 193, 386, 772, 1351, 1544, 2702, 5404

Step-4: Factors of 10825

List of positive integer factors of 10825 that divides 10808 without a remainder.

1, 5, 25, 433, 2165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10808 and 10825. The biggest common factor number is the GCF number.
So the greatest common factor 10808 and 10825 is 1.

Also check out the Least Common Multiple of 10808 and 10825