What is the Greatest Common Factor of 52875 and 52880?

Greatest common factor (GCF) of 52875 and 52880 is 5.

GCF(52875,52880) = 5

We will now calculate the prime factors of 52875 and 52880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52875 and 52880.

How to find the GCF of 52875 and 52880?

We will first find the prime factorization of 52875 and 52880. After we will calculate the factors of 52875 and 52880 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 52880

Prime factors of 52880 are 2, 5, 661. Prime factorization of 52880 in exponential form is:

52880 = 2⁴ × 5¹ × 661¹

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 52880

List of positive integer factors of 52880 that divides 52875 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 661, 1322, 2644, 3305, 5288, 6610, 10576, 13220, 26440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52875 and 52880. The biggest common factor number is the GCF number.
So the greatest common factor 52875 and 52880 is 5.

Also check out the Least Common Multiple of 52875 and 52880