What is the Greatest Common Factor of 61686 and 61697?

Greatest common factor (GCF) of 61686 and 61697 is 1.

GCF(61686,61697) = 1

We will now calculate the prime factors of 61686 and 61697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61686 and 61697.

How to find the GCF of 61686 and 61697?

We will first find the prime factorization of 61686 and 61697. After we will calculate the factors of 61686 and 61697 and find the biggest common factor number .

Step-1: Prime Factorization of 61686

Prime factors of 61686 are 2, 3, 23, 149. Prime factorization of 61686 in exponential form is:

61686 = 2¹ × 3² × 23¹ × 149¹

Step-2: Prime Factorization of 61697

Prime factors of 61697 are 103, 599. Prime factorization of 61697 in exponential form is:

61697 = 103¹ × 599¹

Step-3: Factors of 61686

List of positive integer factors of 61686 that divides 61686 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 149, 207, 298, 414, 447, 894, 1341, 2682, 3427, 6854, 10281, 20562, 30843

Step-4: Factors of 61697

List of positive integer factors of 61697 that divides 61686 without a remainder.

1, 103, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61686 and 61697. The biggest common factor number is the GCF number.
So the greatest common factor 61686 and 61697 is 1.

Also check out the Least Common Multiple of 61686 and 61697