What is the Greatest Common Factor of 65760 and 65775?

Greatest common factor (GCF) of 65760 and 65775 is 15.

GCF(65760,65775) = 15

We will now calculate the prime factors of 65760 and 65775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65760 and 65775.

How to find the GCF of 65760 and 65775?

We will first find the prime factorization of 65760 and 65775. After we will calculate the factors of 65760 and 65775 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 65775

Prime factors of 65775 are 3, 5, 877. Prime factorization of 65775 in exponential form is:

65775 = 3¹ × 5² × 877¹

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 65775

List of positive integer factors of 65775 that divides 65760 without a remainder.

1, 3, 5, 15, 25, 75, 877, 2631, 4385, 13155, 21925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65760 and 65775. The biggest common factor number is the GCF number.
So the greatest common factor 65760 and 65775 is 15.

Also check out the Least Common Multiple of 65760 and 65775