What is the Greatest Common Factor of 71110 and 71125?

Greatest common factor (GCF) of 71110 and 71125 is 5.

GCF(71110,71125) = 5

We will now calculate the prime factors of 71110 and 71125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71110 and 71125.

How to find the GCF of 71110 and 71125?

We will first find the prime factorization of 71110 and 71125. After we will calculate the factors of 71110 and 71125 and find the biggest common factor number .

Step-1: Prime Factorization of 71110

Prime factors of 71110 are 2, 5, 13, 547. Prime factorization of 71110 in exponential form is:

71110 = 2¹ × 5¹ × 13¹ × 547¹

Step-2: Prime Factorization of 71125

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

71125 = 5³ × 569¹

Step-3: Factors of 71110

List of positive integer factors of 71110 that divides 71110 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 547, 1094, 2735, 5470, 7111, 14222, 35555

Step-4: Factors of 71125

List of positive integer factors of 71125 that divides 71110 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71110 and 71125. The biggest common factor number is the GCF number.
So the greatest common factor 71110 and 71125 is 5.

Also check out the Least Common Multiple of 71110 and 71125