What is the Greatest Common Factor of 57738 and 57744?

Greatest common factor (GCF) of 57738 and 57744 is 6.

GCF(57738,57744) = 6

We will now calculate the prime factors of 57738 and 57744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57738 and 57744.

How to find the GCF of 57738 and 57744?

We will first find the prime factorization of 57738 and 57744. After we will calculate the factors of 57738 and 57744 and find the biggest common factor number .

Step-1: Prime Factorization of 57738

Prime factors of 57738 are 2, 3, 9623. Prime factorization of 57738 in exponential form is:

57738 = 2¹ × 3¹ × 9623¹

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 57738

List of positive integer factors of 57738 that divides 57738 without a remainder.

1, 2, 3, 6, 9623, 19246, 28869

Step-4: Factors of 57744

List of positive integer factors of 57744 that divides 57738 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 57738 and 57744. The biggest common factor number is the GCF number.
So the greatest common factor 57738 and 57744 is 6.

Also check out the Least Common Multiple of 57738 and 57744