What is the Greatest Common Factor of 72875 and 72887?

Greatest common factor (GCF) of 72875 and 72887 is 1.

GCF(72875,72887) = 1

We will now calculate the prime factors of 72875 and 72887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72875 and 72887.

How to find the GCF of 72875 and 72887?

We will first find the prime factorization of 72875 and 72887. After we will calculate the factors of 72875 and 72887 and find the biggest common factor number .

Step-1: Prime Factorization of 72875

Prime factors of 72875 are 5, 11, 53. Prime factorization of 72875 in exponential form is:

72875 = 5³ × 11¹ × 53¹

Step-2: Prime Factorization of 72887

Prime factors of 72887 are 23, 3169. Prime factorization of 72887 in exponential form is:

72887 = 23¹ × 3169¹

Step-3: Factors of 72875

List of positive integer factors of 72875 that divides 72875 without a remainder.

1, 5, 11, 25, 53, 55, 125, 265, 275, 583, 1325, 1375, 2915, 6625, 14575

Step-4: Factors of 72887

List of positive integer factors of 72887 that divides 72875 without a remainder.

1, 23, 3169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72875 and 72887. The biggest common factor number is the GCF number.
So the greatest common factor 72875 and 72887 is 1.

Also check out the Least Common Multiple of 72875 and 72887