What is the Greatest Common Factor of 57740 and 57744?

Greatest common factor (GCF) of 57740 and 57744 is 4.

GCF(57740,57744) = 4

We will now calculate the prime factors of 57740 and 57744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57740 and 57744.

How to find the GCF of 57740 and 57744?

We will first find the prime factorization of 57740 and 57744. After we will calculate the factors of 57740 and 57744 and find the biggest common factor number .

Step-1: Prime Factorization of 57740

Prime factors of 57740 are 2, 5, 2887. Prime factorization of 57740 in exponential form is:

57740 = 2² × 5¹ × 2887¹

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 57740

List of positive integer factors of 57740 that divides 57740 without a remainder.

1, 2, 4, 5, 10, 20, 2887, 5774, 11548, 14435, 28870

Step-4: Factors of 57744

List of positive integer factors of 57744 that divides 57740 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 57740 and 57744. The biggest common factor number is the GCF number.
So the greatest common factor 57740 and 57744 is 4.

Also check out the Least Common Multiple of 57740 and 57744