What is the Greatest Common Factor of 57536 and 57552?

Greatest common factor (GCF) of 57536 and 57552 is 16.

GCF(57536,57552) = 16

We will now calculate the prime factors of 57536 and 57552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57536 and 57552.

How to find the GCF of 57536 and 57552?

We will first find the prime factorization of 57536 and 57552. After we will calculate the factors of 57536 and 57552 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 57552

Prime factors of 57552 are 2, 3, 11, 109. Prime factorization of 57552 in exponential form is:

57552 = 2⁴ × 3¹ × 11¹ × 109¹

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 57552

List of positive integer factors of 57552 that divides 57536 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 109, 132, 176, 218, 264, 327, 436, 528, 654, 872, 1199, 1308, 1744, 2398, 2616, 3597, 4796, 5232, 7194, 9592, 14388, 19184, 28776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57536 and 57552. The biggest common factor number is the GCF number.
So the greatest common factor 57536 and 57552 is 16.

Also check out the Least Common Multiple of 57536 and 57552