What is the Greatest Common Factor of 65824 and 65834?

Greatest common factor (GCF) of 65824 and 65834 is 2.

GCF(65824,65834) = 2

We will now calculate the prime factors of 65824 and 65834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65824 and 65834.

How to find the GCF of 65824 and 65834?

We will first find the prime factorization of 65824 and 65834. After we will calculate the factors of 65824 and 65834 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65834

Prime factors of 65834 are 2, 32917. Prime factorization of 65834 in exponential form is:

65834 = 2¹ × 32917¹

Step-3: Factors of 65824

List of positive integer factors of 65824 that divides 65824 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

Step-4: Factors of 65834

List of positive integer factors of 65834 that divides 65824 without a remainder.

1, 2, 32917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65824 and 65834. The biggest common factor number is the GCF number.
So the greatest common factor 65824 and 65834 is 2.

Also check out the Least Common Multiple of 65824 and 65834