What is the Greatest Common Factor of 57855 and 57875?

Greatest common factor (GCF) of 57855 and 57875 is 5.

GCF(57855,57875) = 5

We will now calculate the prime factors of 57855 and 57875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57855 and 57875.

How to find the GCF of 57855 and 57875?

We will first find the prime factorization of 57855 and 57875. After we will calculate the factors of 57855 and 57875 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57875

Prime factors of 57875 are 5, 463. Prime factorization of 57875 in exponential form is:

57875 = 5³ × 463¹

Step-3: Factors of 57855

List of positive integer factors of 57855 that divides 57855 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

Step-4: Factors of 57875

List of positive integer factors of 57875 that divides 57855 without a remainder.

1, 5, 25, 125, 463, 2315, 11575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57855 and 57875. The biggest common factor number is the GCF number.
So the greatest common factor 57855 and 57875 is 5.

Also check out the Least Common Multiple of 57855 and 57875