What is the Greatest Common Factor of 5764 and 5782?

Greatest common factor (GCF) of 5764 and 5782 is 2.

GCF(5764,5782) = 2

We will now calculate the prime factors of 5764 and 5782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5764 and 5782.

How to find the GCF of 5764 and 5782?

We will first find the prime factorization of 5764 and 5782. After we will calculate the factors of 5764 and 5782 and find the biggest common factor number .

Step-1: Prime Factorization of 5764

Prime factors of 5764 are 2, 11, 131. Prime factorization of 5764 in exponential form is:

5764 = 2² × 11¹ × 131¹

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 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882

Step-4: Factors of 5782

List of positive integer factors of 5782 that divides 5764 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 5764 and 5782. The biggest common factor number is the GCF number.
So the greatest common factor 5764 and 5782 is 2.

Also check out the Least Common Multiple of 5764 and 5782