What is the Greatest Common Factor of 52857 and 52875?

Greatest common factor (GCF) of 52857 and 52875 is 9.

GCF(52857,52875) = 9

We will now calculate the prime factors of 52857 and 52875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52857 and 52875.

How to find the GCF of 52857 and 52875?

We will first find the prime factorization of 52857 and 52875. After we will calculate the factors of 52857 and 52875 and find the biggest common factor number .

Step-1: Prime Factorization of 52857

Prime factors of 52857 are 3, 7, 839. Prime factorization of 52857 in exponential form is:

52857 = 3² × 7¹ × 839¹

Step-2: Prime Factorization of 52875

Prime factors of 52875 are 3, 5, 47. Prime factorization of 52875 in exponential form is:

52875 = 3² × 5³ × 47¹

Step-3: Factors of 52857

List of positive integer factors of 52857 that divides 52857 without a remainder.

1, 3, 7, 9, 21, 63, 839, 2517, 5873, 7551, 17619

Step-4: Factors of 52875

List of positive integer factors of 52875 that divides 52857 without a remainder.

1, 3, 5, 9, 15, 25, 45, 47, 75, 125, 141, 225, 235, 375, 423, 705, 1125, 1175, 2115, 3525, 5875, 10575, 17625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52857 and 52875. The biggest common factor number is the GCF number.
So the greatest common factor 52857 and 52875 is 9.

Also check out the Least Common Multiple of 52857 and 52875