What is the Greatest Common Factor of 71125 and 71133?

Greatest common factor (GCF) of 71125 and 71133 is 1.

GCF(71125,71133) = 1

We will now calculate the prime factors of 71125 and 71133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71125 and 71133.

How to find the GCF of 71125 and 71133?

We will first find the prime factorization of 71125 and 71133. After we will calculate the factors of 71125 and 71133 and find the biggest common factor number .

Step-1: Prime Factorization of 71125

Prime factors of 71125 are 5, 569. Prime factorization of 71125 in exponential form is:

71125 = 5³ × 569¹

Step-2: Prime Factorization of 71133

Prime factors of 71133 are 3, 131, 181. Prime factorization of 71133 in exponential form is:

71133 = 3¹ × 131¹ × 181¹

Step-3: Factors of 71125

List of positive integer factors of 71125 that divides 71125 without a remainder.

1, 5, 25, 125, 569, 2845, 14225

Step-4: Factors of 71133

List of positive integer factors of 71133 that divides 71125 without a remainder.

1, 3, 131, 181, 393, 543, 23711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71125 and 71133. The biggest common factor number is the GCF number.
So the greatest common factor 71125 and 71133 is 1.

Also check out the Least Common Multiple of 71125 and 71133