What is the Greatest Common Factor of 71685 and 71691?

Greatest common factor (GCF) of 71685 and 71691 is 3.

GCF(71685,71691) = 3

We will now calculate the prime factors of 71685 and 71691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71685 and 71691.

How to find the GCF of 71685 and 71691?

We will first find the prime factorization of 71685 and 71691. After we will calculate the factors of 71685 and 71691 and find the biggest common factor number .

Step-1: Prime Factorization of 71685

Prime factors of 71685 are 3, 5, 59. Prime factorization of 71685 in exponential form is:

71685 = 3⁵ × 5¹ × 59¹

Step-2: Prime Factorization of 71691

Prime factors of 71691 are 3, 23, 1039. Prime factorization of 71691 in exponential form is:

71691 = 3¹ × 23¹ × 1039¹

Step-3: Factors of 71685

List of positive integer factors of 71685 that divides 71685 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 81, 135, 177, 243, 295, 405, 531, 885, 1215, 1593, 2655, 4779, 7965, 14337, 23895

Step-4: Factors of 71691

List of positive integer factors of 71691 that divides 71685 without a remainder.

1, 3, 23, 69, 1039, 3117, 23897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71685 and 71691. The biggest common factor number is the GCF number.
So the greatest common factor 71685 and 71691 is 3.

Also check out the Least Common Multiple of 71685 and 71691