What is the Greatest Common Factor of 52875 and 52887?

Greatest common factor (GCF) of 52875 and 52887 is 3.

GCF(52875,52887) = 3

We will now calculate the prime factors of 52875 and 52887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52875 and 52887.

How to find the GCF of 52875 and 52887?

We will first find the prime factorization of 52875 and 52887. After we will calculate the factors of 52875 and 52887 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52887

Prime factors of 52887 are 3, 17, 61. Prime factorization of 52887 in exponential form is:

52887 = 3¹ × 17² × 61¹

Step-3: Factors of 52875

List of positive integer factors of 52875 that divides 52875 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

Step-4: Factors of 52887

List of positive integer factors of 52887 that divides 52875 without a remainder.

1, 3, 17, 51, 61, 183, 289, 867, 1037, 3111, 17629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52875 and 52887. The biggest common factor number is the GCF number.
So the greatest common factor 52875 and 52887 is 3.

Also check out the Least Common Multiple of 52875 and 52887