What is the Greatest Common Factor of 25823 and 25829?

Greatest common factor (GCF) of 25823 and 25829 is 1.

GCF(25823,25829) = 1

We will now calculate the prime factors of 25823 and 25829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25823 and 25829.

How to find the GCF of 25823 and 25829?

We will first find the prime factorization of 25823 and 25829. After we will calculate the factors of 25823 and 25829 and find the biggest common factor number .

Step-1: Prime Factorization of 25823

Prime factors of 25823 are 7, 17, 31. Prime factorization of 25823 in exponential form is:

25823 = 7² × 17¹ × 31¹

Step-2: Prime Factorization of 25829

Prime factors of 25829 are 23, 1123. Prime factorization of 25829 in exponential form is:

25829 = 23¹ × 1123¹

Step-3: Factors of 25823

List of positive integer factors of 25823 that divides 25823 without a remainder.

1, 7, 17, 31, 49, 119, 217, 527, 833, 1519, 3689

Step-4: Factors of 25829

List of positive integer factors of 25829 that divides 25823 without a remainder.

1, 23, 1123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25823 and 25829. The biggest common factor number is the GCF number.
So the greatest common factor 25823 and 25829 is 1.

Also check out the Least Common Multiple of 25823 and 25829