What is the Greatest Common Factor of 57875 and 57885?

Greatest common factor (GCF) of 57875 and 57885 is 5.

GCF(57875,57885) = 5

We will now calculate the prime factors of 57875 and 57885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57875 and 57885.

How to find the GCF of 57875 and 57885?

We will first find the prime factorization of 57875 and 57885. After we will calculate the factors of 57875 and 57885 and find the biggest common factor number .

Step-1: Prime Factorization of 57875

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

57875 = 5³ × 463¹

Step-2: Prime Factorization of 57885

Prime factors of 57885 are 3, 5, 17, 227. Prime factorization of 57885 in exponential form is:

57885 = 3¹ × 5¹ × 17¹ × 227¹

Step-3: Factors of 57875

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

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

Step-4: Factors of 57885

List of positive integer factors of 57885 that divides 57875 without a remainder.

1, 3, 5, 15, 17, 51, 85, 227, 255, 681, 1135, 3405, 3859, 11577, 19295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57875 and 57885. The biggest common factor number is the GCF number.
So the greatest common factor 57875 and 57885 is 5.

Also check out the Least Common Multiple of 57875 and 57885