What is the Greatest Common Factor of 71872 and 71881?

Greatest common factor (GCF) of 71872 and 71881 is 1.

GCF(71872,71881) = 1

We will now calculate the prime factors of 71872 and 71881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71872 and 71881.

How to find the GCF of 71872 and 71881?

We will first find the prime factorization of 71872 and 71881. After we will calculate the factors of 71872 and 71881 and find the biggest common factor number .

Step-1: Prime Factorization of 71872

Prime factors of 71872 are 2, 1123. Prime factorization of 71872 in exponential form is:

71872 = 2⁶ × 1123¹

Step-2: Prime Factorization of 71881

Prime factors of 71881 are 71881. Prime factorization of 71881 in exponential form is:

71881 = 71881¹

Step-3: Factors of 71872

List of positive integer factors of 71872 that divides 71872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1123, 2246, 4492, 8984, 17968, 35936

Step-4: Factors of 71881

List of positive integer factors of 71881 that divides 71872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71872 and 71881. The biggest common factor number is the GCF number.
So the greatest common factor 71872 and 71881 is 1.

Also check out the Least Common Multiple of 71872 and 71881