What is the Greatest Common Factor of 71697 and 71706?

Greatest common factor (GCF) of 71697 and 71706 is 3.

GCF(71697,71706) = 3

We will now calculate the prime factors of 71697 and 71706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71697 and 71706.

How to find the GCF of 71697 and 71706?

We will first find the prime factorization of 71697 and 71706. After we will calculate the factors of 71697 and 71706 and find the biggest common factor number .

Step-1: Prime Factorization of 71697

Prime factors of 71697 are 3, 23899. Prime factorization of 71697 in exponential form is:

71697 = 3¹ × 23899¹

Step-2: Prime Factorization of 71706

Prime factors of 71706 are 2, 3, 17, 19, 37. Prime factorization of 71706 in exponential form is:

71706 = 2¹ × 3¹ × 17¹ × 19¹ × 37¹

Step-3: Factors of 71697

List of positive integer factors of 71697 that divides 71697 without a remainder.

1, 3, 23899

Step-4: Factors of 71706

List of positive integer factors of 71706 that divides 71697 without a remainder.

1, 2, 3, 6, 17, 19, 34, 37, 38, 51, 57, 74, 102, 111, 114, 222, 323, 629, 646, 703, 969, 1258, 1406, 1887, 1938, 2109, 3774, 4218, 11951, 23902, 35853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71697 and 71706. The biggest common factor number is the GCF number.
So the greatest common factor 71697 and 71706 is 3.

Also check out the Least Common Multiple of 71697 and 71706