What is the Greatest Common Factor of 71875 and 71889?

Greatest common factor (GCF) of 71875 and 71889 is 1.

GCF(71875,71889) = 1

We will now calculate the prime factors of 71875 and 71889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71875 and 71889.

How to find the GCF of 71875 and 71889?

We will first find the prime factorization of 71875 and 71889. After we will calculate the factors of 71875 and 71889 and find the biggest common factor number .

Step-1: Prime Factorization of 71875

Prime factors of 71875 are 5, 23. Prime factorization of 71875 in exponential form is:

71875 = 5⁵ × 23¹

Step-2: Prime Factorization of 71889

Prime factors of 71889 are 3, 31, 773. Prime factorization of 71889 in exponential form is:

71889 = 3¹ × 31¹ × 773¹

Step-3: Factors of 71875

List of positive integer factors of 71875 that divides 71875 without a remainder.

1, 5, 23, 25, 115, 125, 575, 625, 2875, 3125, 14375

Step-4: Factors of 71889

List of positive integer factors of 71889 that divides 71875 without a remainder.

1, 3, 31, 93, 773, 2319, 23963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71875 and 71889. The biggest common factor number is the GCF number.
So the greatest common factor 71875 and 71889 is 1.

Also check out the Least Common Multiple of 71875 and 71889