What is the Greatest Common Factor of 57532 and 57536?

Greatest common factor (GCF) of 57532 and 57536 is 4.

GCF(57532,57536) = 4

We will now calculate the prime factors of 57532 and 57536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57532 and 57536.

How to find the GCF of 57532 and 57536?

We will first find the prime factorization of 57532 and 57536. After we will calculate the factors of 57532 and 57536 and find the biggest common factor number .

Step-1: Prime Factorization of 57532

Prime factors of 57532 are 2, 19, 757. Prime factorization of 57532 in exponential form is:

57532 = 2² × 19¹ × 757¹

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 57532

List of positive integer factors of 57532 that divides 57532 without a remainder.

1, 2, 4, 19, 38, 76, 757, 1514, 3028, 14383, 28766

Step-4: Factors of 57536

List of positive integer factors of 57536 that divides 57532 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 57532 and 57536. The biggest common factor number is the GCF number.
So the greatest common factor 57532 and 57536 is 4.

Also check out the Least Common Multiple of 57532 and 57536