What is the Greatest Common Factor of 57760 and 57776?

Greatest common factor (GCF) of 57760 and 57776 is 16.

GCF(57760,57776) = 16

We will now calculate the prime factors of 57760 and 57776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57760 and 57776.

How to find the GCF of 57760 and 57776?

We will first find the prime factorization of 57760 and 57776. After we will calculate the factors of 57760 and 57776 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57776

Prime factors of 57776 are 2, 23, 157. Prime factorization of 57776 in exponential form is:

57776 = 2⁴ × 23¹ × 157¹

Step-3: Factors of 57760

List of positive integer factors of 57760 that divides 57760 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

Step-4: Factors of 57776

List of positive integer factors of 57776 that divides 57760 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 157, 184, 314, 368, 628, 1256, 2512, 3611, 7222, 14444, 28888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57760 and 57776. The biggest common factor number is the GCF number.
So the greatest common factor 57760 and 57776 is 16.

Also check out the Least Common Multiple of 57760 and 57776