What is the Greatest Common Factor of 57835 and 57855?

Greatest common factor (GCF) of 57835 and 57855 is 5.

GCF(57835,57855) = 5

We will now calculate the prime factors of 57835 and 57855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57835 and 57855.

How to find the GCF of 57835 and 57855?

We will first find the prime factorization of 57835 and 57855. After we will calculate the factors of 57835 and 57855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57855

Prime factors of 57855 are 3, 5, 7, 19, 29. Prime factorization of 57855 in exponential form is:

57855 = 3¹ × 5¹ × 7¹ × 19¹ × 29¹

Step-3: Factors of 57835

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

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

Step-4: Factors of 57855

List of positive integer factors of 57855 that divides 57835 without a remainder.

1, 3, 5, 7, 15, 19, 21, 29, 35, 57, 87, 95, 105, 133, 145, 203, 285, 399, 435, 551, 609, 665, 1015, 1653, 1995, 2755, 3045, 3857, 8265, 11571, 19285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57835 and 57855. The biggest common factor number is the GCF number.
So the greatest common factor 57835 and 57855 is 5.

Also check out the Least Common Multiple of 57835 and 57855