What is the Greatest Common Factor of 57768 and 57783?

Greatest common factor (GCF) of 57768 and 57783 is 3.

GCF(57768,57783) = 3

We will now calculate the prime factors of 57768 and 57783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57768 and 57783.

How to find the GCF of 57768 and 57783?

We will first find the prime factorization of 57768 and 57783. After we will calculate the factors of 57768 and 57783 and find the biggest common factor number .

Step-1: Prime Factorization of 57768

Prime factors of 57768 are 2, 3, 29, 83. Prime factorization of 57768 in exponential form is:

57768 = 2³ × 3¹ × 29¹ × 83¹

Step-2: 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-3: Factors of 57768

List of positive integer factors of 57768 that divides 57768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 83, 87, 116, 166, 174, 232, 249, 332, 348, 498, 664, 696, 996, 1992, 2407, 4814, 7221, 9628, 14442, 19256, 28884

Step-4: Factors of 57783

List of positive integer factors of 57783 that divides 57768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57768 and 57783. The biggest common factor number is the GCF number.
So the greatest common factor 57768 and 57783 is 3.

Also check out the Least Common Multiple of 57768 and 57783