What is the Greatest Common Factor of 71110 and 71130?

Greatest common factor (GCF) of 71110 and 71130 is 10.

GCF(71110,71130) = 10

We will now calculate the prime factors of 71110 and 71130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71110 and 71130.

How to find the GCF of 71110 and 71130?

We will first find the prime factorization of 71110 and 71130. After we will calculate the factors of 71110 and 71130 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 71130

Prime factors of 71130 are 2, 3, 5, 2371. Prime factorization of 71130 in exponential form is:

71130 = 2¹ × 3¹ × 5¹ × 2371¹

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 71130

List of positive integer factors of 71130 that divides 71110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2371, 4742, 7113, 11855, 14226, 23710, 35565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71110 and 71130. The biggest common factor number is the GCF number.
So the greatest common factor 71110 and 71130 is 10.

Also check out the Least Common Multiple of 71110 and 71130