What is the Greatest Common Factor of 33744 and 33756?

Greatest common factor (GCF) of 33744 and 33756 is 12.

GCF(33744,33756) = 12

We will now calculate the prime factors of 33744 and 33756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33744 and 33756.

How to find the GCF of 33744 and 33756?

We will first find the prime factorization of 33744 and 33756. After we will calculate the factors of 33744 and 33756 and find the biggest common factor number .

Step-1: Prime Factorization of 33744

Prime factors of 33744 are 2, 3, 19, 37. Prime factorization of 33744 in exponential form is:

33744 = 2⁴ × 3¹ × 19¹ × 37¹

Step-2: Prime Factorization of 33756

Prime factors of 33756 are 2, 3, 29, 97. Prime factorization of 33756 in exponential form is:

33756 = 2² × 3¹ × 29¹ × 97¹

Step-3: Factors of 33744

List of positive integer factors of 33744 that divides 33744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 37, 38, 48, 57, 74, 76, 111, 114, 148, 152, 222, 228, 296, 304, 444, 456, 592, 703, 888, 912, 1406, 1776, 2109, 2812, 4218, 5624, 8436, 11248, 16872

Step-4: Factors of 33756

List of positive integer factors of 33756 that divides 33744 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 97, 116, 174, 194, 291, 348, 388, 582, 1164, 2813, 5626, 8439, 11252, 16878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33744 and 33756. The biggest common factor number is the GCF number.
So the greatest common factor 33744 and 33756 is 12.

Also check out the Least Common Multiple of 33744 and 33756