What is the Greatest Common Factor of 57744 and 57762?

Greatest common factor (GCF) of 57744 and 57762 is 18.

GCF(57744,57762) = 18

We will now calculate the prime factors of 57744 and 57762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57744 and 57762.

How to find the GCF of 57744 and 57762?

We will first find the prime factorization of 57744 and 57762. After we will calculate the factors of 57744 and 57762 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 57762

Prime factors of 57762 are 2, 3, 3209. Prime factorization of 57762 in exponential form is:

57762 = 2¹ × 3² × 3209¹

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 57762

List of positive integer factors of 57762 that divides 57744 without a remainder.

1, 2, 3, 6, 9, 18, 3209, 6418, 9627, 19254, 28881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57744 and 57762. The biggest common factor number is the GCF number.
So the greatest common factor 57744 and 57762 is 18.

Also check out the Least Common Multiple of 57744 and 57762