What is the Greatest Common Factor of 65776 and 65782?

Greatest common factor (GCF) of 65776 and 65782 is 2.

GCF(65776,65782) = 2

We will now calculate the prime factors of 65776 and 65782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65776 and 65782.

How to find the GCF of 65776 and 65782?

We will first find the prime factorization of 65776 and 65782. After we will calculate the factors of 65776 and 65782 and find the biggest common factor number .

Step-1: Prime Factorization of 65776

Prime factors of 65776 are 2, 4111. Prime factorization of 65776 in exponential form is:

65776 = 2⁴ × 4111¹

Step-2: Prime Factorization of 65782

Prime factors of 65782 are 2, 31, 1061. Prime factorization of 65782 in exponential form is:

65782 = 2¹ × 31¹ × 1061¹

Step-3: Factors of 65776

List of positive integer factors of 65776 that divides 65776 without a remainder.

1, 2, 4, 8, 16, 4111, 8222, 16444, 32888

Step-4: Factors of 65782

List of positive integer factors of 65782 that divides 65776 without a remainder.

1, 2, 31, 62, 1061, 2122, 32891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65776 and 65782. The biggest common factor number is the GCF number.
So the greatest common factor 65776 and 65782 is 2.

Also check out the Least Common Multiple of 65776 and 65782