What is the Greatest Common Factor of 5742 and 5756?

Greatest common factor (GCF) of 5742 and 5756 is 2.

GCF(5742,5756) = 2

We will now calculate the prime factors of 5742 and 5756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5742 and 5756.

How to find the GCF of 5742 and 5756?

We will first find the prime factorization of 5742 and 5756. After we will calculate the factors of 5742 and 5756 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 5756

Prime factors of 5756 are 2, 1439. Prime factorization of 5756 in exponential form is:

5756 = 2² × 1439¹

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 5756

List of positive integer factors of 5756 that divides 5742 without a remainder.

1, 2, 4, 1439, 2878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5742 and 5756. The biggest common factor number is the GCF number.
So the greatest common factor 5742 and 5756 is 2.

Also check out the Least Common Multiple of 5742 and 5756