What is the Greatest Common Factor of 71181 and 71187?

Greatest common factor (GCF) of 71181 and 71187 is 3.

GCF(71181,71187) = 3

We will now calculate the prime factors of 71181 and 71187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71181 and 71187.

How to find the GCF of 71181 and 71187?

We will first find the prime factorization of 71181 and 71187. After we will calculate the factors of 71181 and 71187 and find the biggest common factor number .

Step-1: Prime Factorization of 71181

Prime factors of 71181 are 3, 11, 719. Prime factorization of 71181 in exponential form is:

71181 = 3² × 11¹ × 719¹

Step-2: Prime Factorization of 71187

Prime factors of 71187 are 3, 61, 389. Prime factorization of 71187 in exponential form is:

71187 = 3¹ × 61¹ × 389¹

Step-3: Factors of 71181

List of positive integer factors of 71181 that divides 71181 without a remainder.

1, 3, 9, 11, 33, 99, 719, 2157, 6471, 7909, 23727

Step-4: Factors of 71187

List of positive integer factors of 71187 that divides 71181 without a remainder.

1, 3, 61, 183, 389, 1167, 23729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71181 and 71187. The biggest common factor number is the GCF number.
So the greatest common factor 71181 and 71187 is 3.

Also check out the Least Common Multiple of 71181 and 71187