What is the Greatest Common Factor of 57536 and 57550?

Greatest common factor (GCF) of 57536 and 57550 is 2.

GCF(57536,57550) = 2

We will now calculate the prime factors of 57536 and 57550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57536 and 57550.

How to find the GCF of 57536 and 57550?

We will first find the prime factorization of 57536 and 57550. After we will calculate the factors of 57536 and 57550 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 57550

Prime factors of 57550 are 2, 5, 1151. Prime factorization of 57550 in exponential form is:

57550 = 2¹ × 5² × 1151¹

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 57550

List of positive integer factors of 57550 that divides 57536 without a remainder.

1, 2, 5, 10, 25, 50, 1151, 2302, 5755, 11510, 28775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57536 and 57550. The biggest common factor number is the GCF number.
So the greatest common factor 57536 and 57550 is 2.

Also check out the Least Common Multiple of 57536 and 57550