What is the Greatest Common Factor of 71855 and 71875?

Greatest common factor (GCF) of 71855 and 71875 is 5.

GCF(71855,71875) = 5

We will now calculate the prime factors of 71855 and 71875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71855 and 71875.

How to find the GCF of 71855 and 71875?

We will first find the prime factorization of 71855 and 71875. After we will calculate the factors of 71855 and 71875 and find the biggest common factor number .

Step-1: Prime Factorization of 71855

Prime factors of 71855 are 5, 7, 2053. Prime factorization of 71855 in exponential form is:

71855 = 5¹ × 7¹ × 2053¹

Step-2: Prime Factorization of 71875

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

71875 = 5⁵ × 23¹

Step-3: Factors of 71855

List of positive integer factors of 71855 that divides 71855 without a remainder.

1, 5, 7, 35, 2053, 10265, 14371

Step-4: Factors of 71875

List of positive integer factors of 71875 that divides 71855 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71855 and 71875. The biggest common factor number is the GCF number.
So the greatest common factor 71855 and 71875 is 5.

Also check out the Least Common Multiple of 71855 and 71875