What is the Greatest Common Factor of 57752 and 57760?

Greatest common factor (GCF) of 57752 and 57760 is 8.

GCF(57752,57760) = 8

We will now calculate the prime factors of 57752 and 57760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57752 and 57760.

How to find the GCF of 57752 and 57760?

We will first find the prime factorization of 57752 and 57760. After we will calculate the factors of 57752 and 57760 and find the biggest common factor number .

Step-1: Prime Factorization of 57752

Prime factors of 57752 are 2, 7219. Prime factorization of 57752 in exponential form is:

57752 = 2³ × 7219¹

Step-2: Prime Factorization of 57760

Prime factors of 57760 are 2, 5, 19. Prime factorization of 57760 in exponential form is:

57760 = 2⁵ × 5¹ × 19²

Step-3: Factors of 57752

List of positive integer factors of 57752 that divides 57752 without a remainder.

1, 2, 4, 8, 7219, 14438, 28876

Step-4: Factors of 57760

List of positive integer factors of 57760 that divides 57752 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 361, 380, 608, 722, 760, 1444, 1520, 1805, 2888, 3040, 3610, 5776, 7220, 11552, 14440, 28880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57752 and 57760. The biggest common factor number is the GCF number.
So the greatest common factor 57752 and 57760 is 8.

Also check out the Least Common Multiple of 57752 and 57760