What is the Greatest Common Factor of 65805 and 65824?

Greatest common factor (GCF) of 65805 and 65824 is 1.

GCF(65805,65824) = 1

We will now calculate the prime factors of 65805 and 65824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65805 and 65824.

How to find the GCF of 65805 and 65824?

We will first find the prime factorization of 65805 and 65824. After we will calculate the factors of 65805 and 65824 and find the biggest common factor number .

Step-1: Prime Factorization of 65805

Prime factors of 65805 are 3, 5, 41, 107. Prime factorization of 65805 in exponential form is:

65805 = 3¹ × 5¹ × 41¹ × 107¹

Step-2: Prime Factorization of 65824

Prime factors of 65824 are 2, 11, 17. Prime factorization of 65824 in exponential form is:

65824 = 2⁵ × 11² × 17¹

Step-3: Factors of 65805

List of positive integer factors of 65805 that divides 65805 without a remainder.

1, 3, 5, 15, 41, 107, 123, 205, 321, 535, 615, 1605, 4387, 13161, 21935

Step-4: Factors of 65824

List of positive integer factors of 65824 that divides 65805 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 121, 136, 176, 187, 242, 272, 352, 374, 484, 544, 748, 968, 1496, 1936, 2057, 2992, 3872, 4114, 5984, 8228, 16456, 32912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65805 and 65824. The biggest common factor number is the GCF number.
So the greatest common factor 65805 and 65824 is 1.

Also check out the Least Common Multiple of 65805 and 65824