What is the Greatest Common Factor of 61686 and 61706?

Greatest common factor (GCF) of 61686 and 61706 is 2.

GCF(61686,61706) = 2

We will now calculate the prime factors of 61686 and 61706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61686 and 61706.

How to find the GCF of 61686 and 61706?

We will first find the prime factorization of 61686 and 61706. After we will calculate the factors of 61686 and 61706 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 61706

Prime factors of 61706 are 2, 30853. Prime factorization of 61706 in exponential form is:

61706 = 2¹ × 30853¹

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 61706

List of positive integer factors of 61706 that divides 61686 without a remainder.

1, 2, 30853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61686 and 61706. The biggest common factor number is the GCF number.
So the greatest common factor 61686 and 61706 is 2.

Also check out the Least Common Multiple of 61686 and 61706