What is the Greatest Common Factor of 57744 and 57756?

Greatest common factor (GCF) of 57744 and 57756 is 12.

GCF(57744,57756) = 12

We will now calculate the prime factors of 57744 and 57756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57744 and 57756.

How to find the GCF of 57744 and 57756?

We will first find the prime factorization of 57744 and 57756. After we will calculate the factors of 57744 and 57756 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 57756

Prime factors of 57756 are 2, 3, 4813. Prime factorization of 57756 in exponential form is:

57756 = 2² × 3¹ × 4813¹

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 57756

List of positive integer factors of 57756 that divides 57744 without a remainder.

1, 2, 3, 4, 6, 12, 4813, 9626, 14439, 19252, 28878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57744 and 57756. The biggest common factor number is the GCF number.
So the greatest common factor 57744 and 57756 is 12.

Also check out the Least Common Multiple of 57744 and 57756