What is the Greatest Common Factor of 57810 and 57825?

Greatest common factor (GCF) of 57810 and 57825 is 15.

GCF(57810,57825) = 15

We will now calculate the prime factors of 57810 and 57825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57810 and 57825.

How to find the GCF of 57810 and 57825?

We will first find the prime factorization of 57810 and 57825. After we will calculate the factors of 57810 and 57825 and find the biggest common factor number .

Step-1: Prime Factorization of 57810

Prime factors of 57810 are 2, 3, 5, 41, 47. Prime factorization of 57810 in exponential form is:

57810 = 2¹ × 3¹ × 5¹ × 41¹ × 47¹

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 57810

List of positive integer factors of 57810 that divides 57810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 47, 82, 94, 123, 141, 205, 235, 246, 282, 410, 470, 615, 705, 1230, 1410, 1927, 3854, 5781, 9635, 11562, 19270, 28905

Step-4: Factors of 57825

List of positive integer factors of 57825 that divides 57810 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 57810 and 57825. The biggest common factor number is the GCF number.
So the greatest common factor 57810 and 57825 is 15.

Also check out the Least Common Multiple of 57810 and 57825