What is the Greatest Common Factor of 57819 and 57825?

Greatest common factor (GCF) of 57819 and 57825 is 3.

GCF(57819,57825) = 3

We will now calculate the prime factors of 57819 and 57825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57819 and 57825.

How to find the GCF of 57819 and 57825?

We will first find the prime factorization of 57819 and 57825. After we will calculate the factors of 57819 and 57825 and find the biggest common factor number .

Step-1: Prime Factorization of 57819

Prime factors of 57819 are 3, 19273. Prime factorization of 57819 in exponential form is:

57819 = 3¹ × 19273¹

Step-2: 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-3: Factors of 57819

List of positive integer factors of 57819 that divides 57819 without a remainder.

1, 3, 19273

Step-4: Factors of 57825

List of positive integer factors of 57825 that divides 57819 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57819 and 57825. The biggest common factor number is the GCF number.
So the greatest common factor 57819 and 57825 is 3.

Also check out the Least Common Multiple of 57819 and 57825