What is the Greatest Common Factor of 52880 and 52887?

Greatest common factor (GCF) of 52880 and 52887 is 1.

GCF(52880,52887) = 1

We will now calculate the prime factors of 52880 and 52887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52880 and 52887.

How to find the GCF of 52880 and 52887?

We will first find the prime factorization of 52880 and 52887. After we will calculate the factors of 52880 and 52887 and find the biggest common factor number .

Step-1: 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-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 52880

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

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

Step-4: Factors of 52887

List of positive integer factors of 52887 that divides 52880 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 52880 and 52887. The biggest common factor number is the GCF number.
So the greatest common factor 52880 and 52887 is 1.

Also check out the Least Common Multiple of 52880 and 52887