What is the Greatest Common Factor of 5774 and 5782?

Greatest common factor (GCF) of 5774 and 5782 is 2.

GCF(5774,5782) = 2

We will now calculate the prime factors of 5774 and 5782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5774 and 5782.

How to find the GCF of 5774 and 5782?

We will first find the prime factorization of 5774 and 5782. After we will calculate the factors of 5774 and 5782 and find the biggest common factor number .

Step-1: Prime Factorization of 5774

Prime factors of 5774 are 2, 2887. Prime factorization of 5774 in exponential form is:

5774 = 2¹ × 2887¹

Step-2: 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-3: Factors of 5774

List of positive integer factors of 5774 that divides 5774 without a remainder.

1, 2, 2887

Step-4: Factors of 5782

List of positive integer factors of 5782 that divides 5774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5774 and 5782. The biggest common factor number is the GCF number.
So the greatest common factor 5774 and 5782 is 2.

Also check out the Least Common Multiple of 5774 and 5782