What is the Greatest Common Factor of 65824 and 65838?

Greatest common factor (GCF) of 65824 and 65838 is 2.

GCF(65824,65838) = 2

We will now calculate the prime factors of 65824 and 65838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65824 and 65838.

How to find the GCF of 65824 and 65838?

We will first find the prime factorization of 65824 and 65838. After we will calculate the factors of 65824 and 65838 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 65838

Prime factors of 65838 are 2, 3, 10973. Prime factorization of 65838 in exponential form is:

65838 = 2¹ × 3¹ × 10973¹

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 65838

List of positive integer factors of 65838 that divides 65824 without a remainder.

1, 2, 3, 6, 10973, 21946, 32919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65824 and 65838. The biggest common factor number is the GCF number.
So the greatest common factor 65824 and 65838 is 2.

Also check out the Least Common Multiple of 65824 and 65838