What is the Greatest Common Factor of 52869 and 52887?

Greatest common factor (GCF) of 52869 and 52887 is 3.

GCF(52869,52887) = 3

We will now calculate the prime factors of 52869 and 52887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52869 and 52887.

How to find the GCF of 52869 and 52887?

We will first find the prime factorization of 52869 and 52887. After we will calculate the factors of 52869 and 52887 and find the biggest common factor number .

Step-1: Prime Factorization of 52869

Prime factors of 52869 are 3, 17623. Prime factorization of 52869 in exponential form is:

52869 = 3¹ × 17623¹

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 52869

List of positive integer factors of 52869 that divides 52869 without a remainder.

1, 3, 17623

Step-4: Factors of 52887

List of positive integer factors of 52887 that divides 52869 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 52869 and 52887. The biggest common factor number is the GCF number.
So the greatest common factor 52869 and 52887 is 3.

Also check out the Least Common Multiple of 52869 and 52887