What is the Greatest Common Factor of 5742 and 5747?

Greatest common factor (GCF) of 5742 and 5747 is 1.

GCF(5742,5747) = 1

We will now calculate the prime factors of 5742 and 5747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5742 and 5747.

How to find the GCF of 5742 and 5747?

We will first find the prime factorization of 5742 and 5747. After we will calculate the factors of 5742 and 5747 and find the biggest common factor number .

Step-1: Prime Factorization of 5742

Prime factors of 5742 are 2, 3, 11, 29. Prime factorization of 5742 in exponential form is:

5742 = 2¹ × 3² × 11¹ × 29¹

Step-2: Prime Factorization of 5747

Prime factors of 5747 are 7, 821. Prime factorization of 5747 in exponential form is:

5747 = 7¹ × 821¹

Step-3: Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871

Step-4: Factors of 5747

List of positive integer factors of 5747 that divides 5742 without a remainder.

1, 7, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5742 and 5747. The biggest common factor number is the GCF number.
So the greatest common factor 5742 and 5747 is 1.

Also check out the Least Common Multiple of 5742 and 5747