What is the Greatest Common Factor of 5782 and 5797?

Greatest common factor (GCF) of 5782 and 5797 is 1.

GCF(5782,5797) = 1

We will now calculate the prime factors of 5782 and 5797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5782 and 5797.

How to find the GCF of 5782 and 5797?

We will first find the prime factorization of 5782 and 5797. After we will calculate the factors of 5782 and 5797 and find the biggest common factor number .

Step-1: Prime Factorization of 5782

Prime factors of 5782 are 2, 7, 59. Prime factorization of 5782 in exponential form is:

5782 = 2¹ × 7² × 59¹

Step-2: Prime Factorization of 5797

Prime factors of 5797 are 11, 17, 31. Prime factorization of 5797 in exponential form is:

5797 = 11¹ × 17¹ × 31¹

Step-3: Factors of 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891

Step-4: Factors of 5797

List of positive integer factors of 5797 that divides 5782 without a remainder.

1, 11, 17, 31, 187, 341, 527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5782 and 5797. The biggest common factor number is the GCF number.
So the greatest common factor 5782 and 5797 is 1.

Also check out the Least Common Multiple of 5782 and 5797