What is the Greatest Common Factor of 71116 and 71130?

Greatest common factor (GCF) of 71116 and 71130 is 2.

GCF(71116,71130) = 2

We will now calculate the prime factors of 71116 and 71130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71116 and 71130.

How to find the GCF of 71116 and 71130?

We will first find the prime factorization of 71116 and 71130. After we will calculate the factors of 71116 and 71130 and find the biggest common factor number .

Step-1: Prime Factorization of 71116

Prime factors of 71116 are 2, 23, 773. Prime factorization of 71116 in exponential form is:

71116 = 2² × 23¹ × 773¹

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 71116

List of positive integer factors of 71116 that divides 71116 without a remainder.

1, 2, 4, 23, 46, 92, 773, 1546, 3092, 17779, 35558

Step-4: Factors of 71130

List of positive integer factors of 71130 that divides 71116 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 71116 and 71130. The biggest common factor number is the GCF number.
So the greatest common factor 71116 and 71130 is 2.

Also check out the Least Common Multiple of 71116 and 71130