What is the Greatest Common Factor of 57825 and 57845?

Greatest common factor (GCF) of 57825 and 57845 is 5.

GCF(57825,57845) = 5

We will now calculate the prime factors of 57825 and 57845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57825 and 57845.

How to find the GCF of 57825 and 57845?

We will first find the prime factorization of 57825 and 57845. After we will calculate the factors of 57825 and 57845 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 57845

Prime factors of 57845 are 5, 23, 503. Prime factorization of 57845 in exponential form is:

57845 = 5¹ × 23¹ × 503¹

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 57845

List of positive integer factors of 57845 that divides 57825 without a remainder.

1, 5, 23, 115, 503, 2515, 11569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57825 and 57845. The biggest common factor number is the GCF number.
So the greatest common factor 57825 and 57845 is 5.

Also check out the Least Common Multiple of 57825 and 57845