What is the Greatest Common Factor of 5872 and 5887?

Greatest common factor (GCF) of 5872 and 5887 is 1.

GCF(5872,5887) = 1

We will now calculate the prime factors of 5872 and 5887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5872 and 5887.

How to find the GCF of 5872 and 5887?

We will first find the prime factorization of 5872 and 5887. After we will calculate the factors of 5872 and 5887 and find the biggest common factor number .

Step-1: Prime Factorization of 5872

Prime factors of 5872 are 2, 367. Prime factorization of 5872 in exponential form is:

5872 = 2⁴ × 367¹

Step-2: Prime Factorization of 5887

Prime factors of 5887 are 7, 29. Prime factorization of 5887 in exponential form is:

5887 = 7¹ × 29²

Step-3: Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1, 2, 4, 8, 16, 367, 734, 1468, 2936

Step-4: Factors of 5887

List of positive integer factors of 5887 that divides 5872 without a remainder.

1, 7, 29, 203, 841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5872 and 5887. The biggest common factor number is the GCF number.
So the greatest common factor 5872 and 5887 is 1.

Also check out the Least Common Multiple of 5872 and 5887