What is the Greatest Common Factor of 57760 and 57779?

Greatest common factor (GCF) of 57760 and 57779 is 19.

GCF(57760,57779) = 19

We will now calculate the prime factors of 57760 and 57779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57760 and 57779.

How to find the GCF of 57760 and 57779?

We will first find the prime factorization of 57760 and 57779. After we will calculate the factors of 57760 and 57779 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 57779

Prime factors of 57779 are 19, 3041. Prime factorization of 57779 in exponential form is:

57779 = 19¹ × 3041¹

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 57779

List of positive integer factors of 57779 that divides 57760 without a remainder.

1, 19, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57760 and 57779. The biggest common factor number is the GCF number.
So the greatest common factor 57760 and 57779 is 19.

Also check out the Least Common Multiple of 57760 and 57779