What is the Greatest Common Factor of 57783 and 57789?

Greatest common factor (GCF) of 57783 and 57789 is 3.

GCF(57783,57789) = 3

We will now calculate the prime factors of 57783 and 57789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57783 and 57789.

How to find the GCF of 57783 and 57789?

We will first find the prime factorization of 57783 and 57789. After we will calculate the factors of 57783 and 57789 and find the biggest common factor number .

Step-1: Prime Factorization of 57783

Prime factors of 57783 are 3, 11, 17, 103. Prime factorization of 57783 in exponential form is:

57783 = 3¹ × 11¹ × 17¹ × 103¹

Step-2: Prime Factorization of 57789

Prime factors of 57789 are 3, 6421. Prime factorization of 57789 in exponential form is:

57789 = 3² × 6421¹

Step-3: Factors of 57783

List of positive integer factors of 57783 that divides 57783 without a remainder.

1, 3, 11, 17, 33, 51, 103, 187, 309, 561, 1133, 1751, 3399, 5253, 19261

Step-4: Factors of 57789

List of positive integer factors of 57789 that divides 57783 without a remainder.

1, 3, 9, 6421, 19263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57783 and 57789. The biggest common factor number is the GCF number.
So the greatest common factor 57783 and 57789 is 3.

Also check out the Least Common Multiple of 57783 and 57789