What is the Greatest Common Factor of 57536 and 57544?

Greatest common factor (GCF) of 57536 and 57544 is 8.

GCF(57536,57544) = 8

We will now calculate the prime factors of 57536 and 57544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57536 and 57544.

How to find the GCF of 57536 and 57544?

We will first find the prime factorization of 57536 and 57544. After we will calculate the factors of 57536 and 57544 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57544

Prime factors of 57544 are 2, 7193. Prime factorization of 57544 in exponential form is:

57544 = 2³ × 7193¹

Step-3: Factors of 57536

List of positive integer factors of 57536 that divides 57536 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

Step-4: Factors of 57544

List of positive integer factors of 57544 that divides 57536 without a remainder.

1, 2, 4, 8, 7193, 14386, 28772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57536 and 57544. The biggest common factor number is the GCF number.
So the greatest common factor 57536 and 57544 is 8.

Also check out the Least Common Multiple of 57536 and 57544