What is the Greatest Common Factor of 57779 and 57798?

Greatest common factor (GCF) of 57779 and 57798 is 19.

GCF(57779,57798) = 19

We will now calculate the prime factors of 57779 and 57798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57779 and 57798.

How to find the GCF of 57779 and 57798?

We will first find the prime factorization of 57779 and 57798. After we will calculate the factors of 57779 and 57798 and find the biggest common factor number .

Step-1: Prime Factorization of 57779

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

57779 = 19¹ × 3041¹

Step-2: Prime Factorization of 57798

Prime factors of 57798 are 2, 3, 13, 19. Prime factorization of 57798 in exponential form is:

57798 = 2¹ × 3² × 13² × 19¹

Step-3: Factors of 57779

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

1, 19, 3041

Step-4: Factors of 57798

List of positive integer factors of 57798 that divides 57779 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 169, 171, 234, 247, 338, 342, 494, 507, 741, 1014, 1482, 1521, 2223, 3042, 3211, 4446, 6422, 9633, 19266, 28899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57779 and 57798. The biggest common factor number is the GCF number.
So the greatest common factor 57779 and 57798 is 19.

Also check out the Least Common Multiple of 57779 and 57798