What is the Greatest Common Factor of 65760 and 65776?

Greatest common factor (GCF) of 65760 and 65776 is 16.

GCF(65760,65776) = 16

We will now calculate the prime factors of 65760 and 65776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65760 and 65776.

How to find the GCF of 65760 and 65776?

We will first find the prime factorization of 65760 and 65776. After we will calculate the factors of 65760 and 65776 and find the biggest common factor number .

Step-1: Prime Factorization of 65760

Prime factors of 65760 are 2, 3, 5, 137. Prime factorization of 65760 in exponential form is:

65760 = 2⁵ × 3¹ × 5¹ × 137¹

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 65760

List of positive integer factors of 65760 that divides 65760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 137, 160, 240, 274, 411, 480, 548, 685, 822, 1096, 1370, 1644, 2055, 2192, 2740, 3288, 4110, 4384, 5480, 6576, 8220, 10960, 13152, 16440, 21920, 32880

Step-4: Factors of 65776

List of positive integer factors of 65776 that divides 65760 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 65760 and 65776. The biggest common factor number is the GCF number.
So the greatest common factor 65760 and 65776 is 16.

Also check out the Least Common Multiple of 65760 and 65776