What is the Greatest Common Factor of 33744 and 33753?

Greatest common factor (GCF) of 33744 and 33753 is 3.

GCF(33744,33753) = 3

We will now calculate the prime factors of 33744 and 33753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33744 and 33753.

How to find the GCF of 33744 and 33753?

We will first find the prime factorization of 33744 and 33753. After we will calculate the factors of 33744 and 33753 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 33753

Prime factors of 33753 are 3, 11251. Prime factorization of 33753 in exponential form is:

33753 = 3¹ × 11251¹

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 33753

List of positive integer factors of 33753 that divides 33744 without a remainder.

1, 3, 11251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33744 and 33753. The biggest common factor number is the GCF number.
So the greatest common factor 33744 and 33753 is 3.

Also check out the Least Common Multiple of 33744 and 33753