What is the Greatest Common Factor of 59872 and 59887?

Greatest common factor (GCF) of 59872 and 59887 is 1.

GCF(59872,59887) = 1

We will now calculate the prime factors of 59872 and 59887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59872 and 59887.

How to find the GCF of 59872 and 59887?

We will first find the prime factorization of 59872 and 59887. After we will calculate the factors of 59872 and 59887 and find the biggest common factor number .

Step-1: Prime Factorization of 59872

Prime factors of 59872 are 2, 1871. Prime factorization of 59872 in exponential form is:

59872 = 2⁵ × 1871¹

Step-2: Prime Factorization of 59887

Prime factors of 59887 are 59887. Prime factorization of 59887 in exponential form is:

59887 = 59887¹

Step-3: Factors of 59872

List of positive integer factors of 59872 that divides 59872 without a remainder.

1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936

Step-4: Factors of 59887

List of positive integer factors of 59887 that divides 59872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59872 and 59887. The biggest common factor number is the GCF number.
So the greatest common factor 59872 and 59887 is 1.

Also check out the Least Common Multiple of 59872 and 59887