What is the Greatest Common Factor of 57744 and 57753?

Greatest common factor (GCF) of 57744 and 57753 is 9.

GCF(57744,57753) = 9

We will now calculate the prime factors of 57744 and 57753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57744 and 57753.

How to find the GCF of 57744 and 57753?

We will first find the prime factorization of 57744 and 57753. After we will calculate the factors of 57744 and 57753 and find the biggest common factor number .

Step-1: Prime Factorization of 57744

Prime factors of 57744 are 2, 3, 401. Prime factorization of 57744 in exponential form is:

57744 = 2⁴ × 3² × 401¹

Step-2: Prime Factorization of 57753

Prime factors of 57753 are 3, 23, 31. Prime factorization of 57753 in exponential form is:

57753 = 3⁴ × 23¹ × 31¹

Step-3: Factors of 57744

List of positive integer factors of 57744 that divides 57744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 401, 802, 1203, 1604, 2406, 3208, 3609, 4812, 6416, 7218, 9624, 14436, 19248, 28872

Step-4: Factors of 57753

List of positive integer factors of 57753 that divides 57744 without a remainder.

1, 3, 9, 23, 27, 31, 69, 81, 93, 207, 279, 621, 713, 837, 1863, 2139, 2511, 6417, 19251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57744 and 57753. The biggest common factor number is the GCF number.
So the greatest common factor 57744 and 57753 is 9.

Also check out the Least Common Multiple of 57744 and 57753