What is the Greatest Common Factor of 33686 and 33696?

Greatest common factor (GCF) of 33686 and 33696 is 2.

GCF(33686,33696) = 2

We will now calculate the prime factors of 33686 and 33696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33686 and 33696.

How to find the GCF of 33686 and 33696?

We will first find the prime factorization of 33686 and 33696. After we will calculate the factors of 33686 and 33696 and find the biggest common factor number .

Step-1: Prime Factorization of 33686

Prime factors of 33686 are 2, 16843. Prime factorization of 33686 in exponential form is:

33686 = 2¹ × 16843¹

Step-2: Prime Factorization of 33696

Prime factors of 33696 are 2, 3, 13. Prime factorization of 33696 in exponential form is:

33696 = 2⁵ × 3⁴ × 13¹

Step-3: Factors of 33686

List of positive integer factors of 33686 that divides 33686 without a remainder.

1, 2, 16843

Step-4: Factors of 33696

List of positive integer factors of 33696 that divides 33686 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 72, 78, 81, 96, 104, 108, 117, 144, 156, 162, 208, 216, 234, 288, 312, 324, 351, 416, 432, 468, 624, 648, 702, 864, 936, 1053, 1248, 1296, 1404, 1872, 2106, 2592, 2808, 3744, 4212, 5616, 8424, 11232, 16848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33686 and 33696. The biggest common factor number is the GCF number.
So the greatest common factor 33686 and 33696 is 2.

Also check out the Least Common Multiple of 33686 and 33696