What is the Greatest Common Factor of 57747 and 57753?

Greatest common factor (GCF) of 57747 and 57753 is 3.

GCF(57747,57753) = 3

We will now calculate the prime factors of 57747 and 57753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57747 and 57753.

How to find the GCF of 57747 and 57753?

We will first find the prime factorization of 57747 and 57753. After we will calculate the factors of 57747 and 57753 and find the biggest common factor number .

Step-1: Prime Factorization of 57747

Prime factors of 57747 are 3, 19249. Prime factorization of 57747 in exponential form is:

57747 = 3¹ × 19249¹

Step-2: Prime Factorization of 57753

Prime factors of 57753 are 3, 23, 31. Prime factorization of 57753 in exponential form is:

57753 = 3⁴ × 23¹ × 31¹

Step-3: Factors of 57747

List of positive integer factors of 57747 that divides 57747 without a remainder.

1, 3, 19249

Step-4: Factors of 57753

List of positive integer factors of 57753 that divides 57747 without a remainder.

1, 3, 9, 23, 27, 31, 69, 81, 93, 207, 279, 621, 713, 837, 1863, 2139, 2511, 6417, 19251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57747 and 57753. The biggest common factor number is the GCF number.
So the greatest common factor 57747 and 57753 is 3.

Also check out the Least Common Multiple of 57747 and 57753