What is the Greatest Common Factor of 33688 and 33696?

Greatest common factor (GCF) of 33688 and 33696 is 8.

GCF(33688,33696) = 8

We will now calculate the prime factors of 33688 and 33696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33688 and 33696.

How to find the GCF of 33688 and 33696?

We will first find the prime factorization of 33688 and 33696. After we will calculate the factors of 33688 and 33696 and find the biggest common factor number .

Step-1: Prime Factorization of 33688

Prime factors of 33688 are 2, 4211. Prime factorization of 33688 in exponential form is:

33688 = 2³ × 4211¹

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 33688

List of positive integer factors of 33688 that divides 33688 without a remainder.

1, 2, 4, 8, 4211, 8422, 16844

Step-4: Factors of 33696

List of positive integer factors of 33696 that divides 33688 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 33688 and 33696. The biggest common factor number is the GCF number.
So the greatest common factor 33688 and 33696 is 8.

Also check out the Least Common Multiple of 33688 and 33696