What is the Greatest Common Factor of 57825 and 57843?

Greatest common factor (GCF) of 57825 and 57843 is 9.

GCF(57825,57843) = 9

We will now calculate the prime factors of 57825 and 57843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57825 and 57843.

How to find the GCF of 57825 and 57843?

We will first find the prime factorization of 57825 and 57843. After we will calculate the factors of 57825 and 57843 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 57843

Prime factors of 57843 are 3, 6427. Prime factorization of 57843 in exponential form is:

57843 = 3² × 6427¹

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 57843

List of positive integer factors of 57843 that divides 57825 without a remainder.

1, 3, 9, 6427, 19281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57825 and 57843. The biggest common factor number is the GCF number.
So the greatest common factor 57825 and 57843 is 9.

Also check out the Least Common Multiple of 57825 and 57843