What is the Greatest Common Factor of 65764 and 65776?

Greatest common factor (GCF) of 65764 and 65776 is 4.

GCF(65764,65776) = 4

We will now calculate the prime factors of 65764 and 65776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65764 and 65776.

How to find the GCF of 65764 and 65776?

We will first find the prime factorization of 65764 and 65776. After we will calculate the factors of 65764 and 65776 and find the biggest common factor number .

Step-1: Prime Factorization of 65764

Prime factors of 65764 are 2, 41, 401. Prime factorization of 65764 in exponential form is:

65764 = 2² × 41¹ × 401¹

Step-2: Prime Factorization of 65776

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

65776 = 2⁴ × 4111¹

Step-3: Factors of 65764

List of positive integer factors of 65764 that divides 65764 without a remainder.

1, 2, 4, 41, 82, 164, 401, 802, 1604, 16441, 32882

Step-4: Factors of 65776

List of positive integer factors of 65776 that divides 65764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65764 and 65776. The biggest common factor number is the GCF number.
So the greatest common factor 65764 and 65776 is 4.

Also check out the Least Common Multiple of 65764 and 65776