What is the Greatest Common Factor of 5782 and 5788?

Greatest common factor (GCF) of 5782 and 5788 is 2.

GCF(5782,5788) = 2

We will now calculate the prime factors of 5782 and 5788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5782 and 5788.

How to find the GCF of 5782 and 5788?

We will first find the prime factorization of 5782 and 5788. After we will calculate the factors of 5782 and 5788 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 5788

Prime factors of 5788 are 2, 1447. Prime factorization of 5788 in exponential form is:

5788 = 2² × 1447¹

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 5788

List of positive integer factors of 5788 that divides 5782 without a remainder.

1, 2, 4, 1447, 2894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5782 and 5788. The biggest common factor number is the GCF number.
So the greatest common factor 5782 and 5788 is 2.

Also check out the Least Common Multiple of 5782 and 5788