What is the Greatest Common Factor of 57825 and 57829?

Greatest common factor (GCF) of 57825 and 57829 is 1.

GCF(57825,57829) = 1

We will now calculate the prime factors of 57825 and 57829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57825 and 57829.

How to find the GCF of 57825 and 57829?

We will first find the prime factorization of 57825 and 57829. After we will calculate the factors of 57825 and 57829 and find the biggest common factor number .

Step-1: Prime Factorization of 57825

Prime factors of 57825 are 3, 5, 257. Prime factorization of 57825 in exponential form is:

57825 = 3² × 5² × 257¹

Step-2: Prime Factorization of 57829

Prime factors of 57829 are 57829. Prime factorization of 57829 in exponential form is:

57829 = 57829¹

Step-3: Factors of 57825

List of positive integer factors of 57825 that divides 57825 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 257, 771, 1285, 2313, 3855, 6425, 11565, 19275

Step-4: Factors of 57829

List of positive integer factors of 57829 that divides 57825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57825 and 57829. The biggest common factor number is the GCF number.
So the greatest common factor 57825 and 57829 is 1.

Also check out the Least Common Multiple of 57825 and 57829