What is the Greatest Common Factor of 71957 and 71975?

Greatest common factor (GCF) of 71957 and 71975 is 1.

GCF(71957,71975) = 1

We will now calculate the prime factors of 71957 and 71975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71957 and 71975.

How to find the GCF of 71957 and 71975?

We will first find the prime factorization of 71957 and 71975. After we will calculate the factors of 71957 and 71975 and find the biggest common factor number .

Step-1: Prime Factorization of 71957

Prime factors of 71957 are 47, 1531. Prime factorization of 71957 in exponential form is:

71957 = 47¹ × 1531¹

Step-2: Prime Factorization of 71975

Prime factors of 71975 are 5, 2879. Prime factorization of 71975 in exponential form is:

71975 = 5² × 2879¹

Step-3: Factors of 71957

List of positive integer factors of 71957 that divides 71957 without a remainder.

1, 47, 1531

Step-4: Factors of 71975

List of positive integer factors of 71975 that divides 71957 without a remainder.

1, 5, 25, 2879, 14395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71957 and 71975. The biggest common factor number is the GCF number.
So the greatest common factor 71957 and 71975 is 1.

Also check out the Least Common Multiple of 71957 and 71975