What is the Greatest Common Factor of 57724 and 57744?

Greatest common factor (GCF) of 57724 and 57744 is 4.

GCF(57724,57744) = 4

We will now calculate the prime factors of 57724 and 57744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57724 and 57744.

How to find the GCF of 57724 and 57744?

We will first find the prime factorization of 57724 and 57744. After we will calculate the factors of 57724 and 57744 and find the biggest common factor number .

Step-1: Prime Factorization of 57724

Prime factors of 57724 are 2, 14431. Prime factorization of 57724 in exponential form is:

57724 = 2² × 14431¹

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 57724

List of positive integer factors of 57724 that divides 57724 without a remainder.

1, 2, 4, 14431, 28862

Step-4: Factors of 57744

List of positive integer factors of 57744 that divides 57724 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 57724 and 57744. The biggest common factor number is the GCF number.
So the greatest common factor 57724 and 57744 is 4.

Also check out the Least Common Multiple of 57724 and 57744