What is the Greatest Common Factor of 57825 and 57835?

Greatest common factor (GCF) of 57825 and 57835 is 5.

GCF(57825,57835) = 5

We will now calculate the prime factors of 57825 and 57835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57825 and 57835.

How to find the GCF of 57825 and 57835?

We will first find the prime factorization of 57825 and 57835. After we will calculate the factors of 57825 and 57835 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 57835

Prime factors of 57835 are 5, 43, 269. Prime factorization of 57835 in exponential form is:

57835 = 5¹ × 43¹ × 269¹

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 57835

List of positive integer factors of 57835 that divides 57825 without a remainder.

1, 5, 43, 215, 269, 1345, 11567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57825 and 57835. The biggest common factor number is the GCF number.
So the greatest common factor 57825 and 57835 is 5.

Also check out the Least Common Multiple of 57825 and 57835