What is the Greatest Common Factor of 61686 and 61696?

Greatest common factor (GCF) of 61686 and 61696 is 2.

GCF(61686,61696) = 2

We will now calculate the prime factors of 61686 and 61696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61686 and 61696.

How to find the GCF of 61686 and 61696?

We will first find the prime factorization of 61686 and 61696. After we will calculate the factors of 61686 and 61696 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 61696

Prime factors of 61696 are 2, 241. Prime factorization of 61696 in exponential form is:

61696 = 2⁸ × 241¹

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 61696

List of positive integer factors of 61696 that divides 61686 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 241, 256, 482, 964, 1928, 3856, 7712, 15424, 30848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61686 and 61696. The biggest common factor number is the GCF number.
So the greatest common factor 61686 and 61696 is 2.

Also check out the Least Common Multiple of 61686 and 61696