What is the Greatest Common Factor of 57732 and 57744?

Greatest common factor (GCF) of 57732 and 57744 is 12.

GCF(57732,57744) = 12

We will now calculate the prime factors of 57732 and 57744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57732 and 57744.

How to find the GCF of 57732 and 57744?

We will first find the prime factorization of 57732 and 57744. After we will calculate the factors of 57732 and 57744 and find the biggest common factor number .

Step-1: Prime Factorization of 57732

Prime factors of 57732 are 2, 3, 17, 283. Prime factorization of 57732 in exponential form is:

57732 = 2² × 3¹ × 17¹ × 283¹

Step-2: 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-3: Factors of 57732

List of positive integer factors of 57732 that divides 57732 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 283, 566, 849, 1132, 1698, 3396, 4811, 9622, 14433, 19244, 28866

Step-4: Factors of 57744

List of positive integer factors of 57744 that divides 57732 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57732 and 57744. The biggest common factor number is the GCF number.
So the greatest common factor 57732 and 57744 is 12.

Also check out the Least Common Multiple of 57732 and 57744