What is the Greatest Common Factor of 65760 and 65771?

Greatest common factor (GCF) of 65760 and 65771 is 1.

GCF(65760,65771) = 1

We will now calculate the prime factors of 65760 and 65771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65760 and 65771.

How to find the GCF of 65760 and 65771?

We will first find the prime factorization of 65760 and 65771. After we will calculate the factors of 65760 and 65771 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 65771

Prime factors of 65771 are 89, 739. Prime factorization of 65771 in exponential form is:

65771 = 89¹ × 739¹

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 65771

List of positive integer factors of 65771 that divides 65760 without a remainder.

1, 89, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65760 and 65771. The biggest common factor number is the GCF number.
So the greatest common factor 65760 and 65771 is 1.

Also check out the Least Common Multiple of 65760 and 65771