What is the Greatest Common Factor of 5776 and 5785?

Greatest common factor (GCF) of 5776 and 5785 is 1.

GCF(5776,5785) = 1

We will now calculate the prime factors of 5776 and 5785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5776 and 5785.

How to find the GCF of 5776 and 5785?

We will first find the prime factorization of 5776 and 5785. After we will calculate the factors of 5776 and 5785 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 5785

Prime factors of 5785 are 5, 13, 89. Prime factorization of 5785 in exponential form is:

5785 = 5¹ × 13¹ × 89¹

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 5785

List of positive integer factors of 5785 that divides 5776 without a remainder.

1, 5, 13, 65, 89, 445, 1157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5776 and 5785. The biggest common factor number is the GCF number.
So the greatest common factor 5776 and 5785 is 1.

Also check out the Least Common Multiple of 5776 and 5785