What is the Greatest Common Factor of 5733 and 5751?

Greatest common factor (GCF) of 5733 and 5751 is 9.

GCF(5733,5751) = 9

We will now calculate the prime factors of 5733 and 5751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5733 and 5751.

How to find the GCF of 5733 and 5751?

We will first find the prime factorization of 5733 and 5751. After we will calculate the factors of 5733 and 5751 and find the biggest common factor number .

Step-1: Prime Factorization of 5733

Prime factors of 5733 are 3, 7, 13. Prime factorization of 5733 in exponential form is:

5733 = 3² × 7² × 13¹

Step-2: Prime Factorization of 5751

Prime factors of 5751 are 3, 71. Prime factorization of 5751 in exponential form is:

5751 = 3⁴ × 71¹

Step-3: Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911

Step-4: Factors of 5751

List of positive integer factors of 5751 that divides 5733 without a remainder.

1, 3, 9, 27, 71, 81, 213, 639, 1917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5733 and 5751. The biggest common factor number is the GCF number.
So the greatest common factor 5733 and 5751 is 9.

Also check out the Least Common Multiple of 5733 and 5751