What is the Greatest Common Factor of 33792 and 33796?

Greatest common factor (GCF) of 33792 and 33796 is 4.

GCF(33792,33796) = 4

We will now calculate the prime factors of 33792 and 33796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33792 and 33796.

How to find the GCF of 33792 and 33796?

We will first find the prime factorization of 33792 and 33796. After we will calculate the factors of 33792 and 33796 and find the biggest common factor number .

Step-1: Prime Factorization of 33792

Prime factors of 33792 are 2, 3, 11. Prime factorization of 33792 in exponential form is:

33792 = 2¹⁰ × 3¹ × 11¹

Step-2: Prime Factorization of 33796

Prime factors of 33796 are 2, 7, 17, 71. Prime factorization of 33796 in exponential form is:

33796 = 2² × 7¹ × 17¹ × 71¹

Step-3: Factors of 33792

List of positive integer factors of 33792 that divides 33792 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1024, 1056, 1408, 1536, 2112, 2816, 3072, 4224, 5632, 8448, 11264, 16896

Step-4: Factors of 33796

List of positive integer factors of 33796 that divides 33792 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 71, 119, 142, 238, 284, 476, 497, 994, 1207, 1988, 2414, 4828, 8449, 16898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33792 and 33796. The biggest common factor number is the GCF number.
So the greatest common factor 33792 and 33796 is 4.

Also check out the Least Common Multiple of 33792 and 33796