What is the Greatest Common Factor of 65760 and 65778?

Greatest common factor (GCF) of 65760 and 65778 is 6.

GCF(65760,65778) = 6

We will now calculate the prime factors of 65760 and 65778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65760 and 65778.

How to find the GCF of 65760 and 65778?

We will first find the prime factorization of 65760 and 65778. After we will calculate the factors of 65760 and 65778 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 65778

Prime factors of 65778 are 2, 3, 19, 577. Prime factorization of 65778 in exponential form is:

65778 = 2¹ × 3¹ × 19¹ × 577¹

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 65778

List of positive integer factors of 65778 that divides 65760 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 577, 1154, 1731, 3462, 10963, 21926, 32889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65760 and 65778. The biggest common factor number is the GCF number.
So the greatest common factor 65760 and 65778 is 6.

Also check out the Least Common Multiple of 65760 and 65778