What is the Greatest Common Factor of 5787 and 5798?

Greatest common factor (GCF) of 5787 and 5798 is 1.

GCF(5787,5798) = 1

We will now calculate the prime factors of 5787 and 5798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5787 and 5798.

How to find the GCF of 5787 and 5798?

We will first find the prime factorization of 5787 and 5798. After we will calculate the factors of 5787 and 5798 and find the biggest common factor number .

Step-1: Prime Factorization of 5787

Prime factors of 5787 are 3, 643. Prime factorization of 5787 in exponential form is:

5787 = 3² × 643¹

Step-2: Prime Factorization of 5798

Prime factors of 5798 are 2, 13, 223. Prime factorization of 5798 in exponential form is:

5798 = 2¹ × 13¹ × 223¹

Step-3: Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1, 3, 9, 643, 1929

Step-4: Factors of 5798

List of positive integer factors of 5798 that divides 5787 without a remainder.

1, 2, 13, 26, 223, 446, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5787 and 5798. The biggest common factor number is the GCF number.
So the greatest common factor 5787 and 5798 is 1.

Also check out the Least Common Multiple of 5787 and 5798