What is the Greatest Common Factor of 57524 and 57536?

Greatest common factor (GCF) of 57524 and 57536 is 4.

GCF(57524,57536) = 4

We will now calculate the prime factors of 57524 and 57536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57524 and 57536.

How to find the GCF of 57524 and 57536?

We will first find the prime factorization of 57524 and 57536. After we will calculate the factors of 57524 and 57536 and find the biggest common factor number .

Step-1: Prime Factorization of 57524

Prime factors of 57524 are 2, 73, 197. Prime factorization of 57524 in exponential form is:

57524 = 2² × 73¹ × 197¹

Step-2: Prime Factorization of 57536

Prime factors of 57536 are 2, 29, 31. Prime factorization of 57536 in exponential form is:

57536 = 2⁶ × 29¹ × 31¹

Step-3: Factors of 57524

List of positive integer factors of 57524 that divides 57524 without a remainder.

1, 2, 4, 73, 146, 197, 292, 394, 788, 14381, 28762

Step-4: Factors of 57536

List of positive integer factors of 57536 that divides 57524 without a remainder.

1, 2, 4, 8, 16, 29, 31, 32, 58, 62, 64, 116, 124, 232, 248, 464, 496, 899, 928, 992, 1798, 1856, 1984, 3596, 7192, 14384, 28768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57524 and 57536. The biggest common factor number is the GCF number.
So the greatest common factor 57524 and 57536 is 4.

Also check out the Least Common Multiple of 57524 and 57536