What is the Greatest Common Factor of 5776 and 5794?

Greatest common factor (GCF) of 5776 and 5794 is 2.

GCF(5776,5794) = 2

We will now calculate the prime factors of 5776 and 5794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5776 and 5794.

How to find the GCF of 5776 and 5794?

We will first find the prime factorization of 5776 and 5794. After we will calculate the factors of 5776 and 5794 and find the biggest common factor number .

Step-1: Prime Factorization of 5776

Prime factors of 5776 are 2, 19. Prime factorization of 5776 in exponential form is:

5776 = 2⁴ × 19²

Step-2: Prime Factorization of 5794

Prime factors of 5794 are 2, 2897. Prime factorization of 5794 in exponential form is:

5794 = 2¹ × 2897¹

Step-3: Factors of 5776

List of positive integer factors of 5776 that divides 5776 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888

Step-4: Factors of 5794

List of positive integer factors of 5794 that divides 5776 without a remainder.

1, 2, 2897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5776 and 5794. The biggest common factor number is the GCF number.
So the greatest common factor 5776 and 5794 is 2.

Also check out the Least Common Multiple of 5776 and 5794