What is the Greatest Common Factor of 65814 and 65824?

Greatest common factor (GCF) of 65814 and 65824 is 2.

GCF(65814,65824) = 2

We will now calculate the prime factors of 65814 and 65824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65814 and 65824.

How to find the GCF of 65814 and 65824?

We will first find the prime factorization of 65814 and 65824. After we will calculate the factors of 65814 and 65824 and find the biggest common factor number .

Step-1: Prime Factorization of 65814

Prime factors of 65814 are 2, 3, 7, 1567. Prime factorization of 65814 in exponential form is:

65814 = 2¹ × 3¹ × 7¹ × 1567¹

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 65814

List of positive integer factors of 65814 that divides 65814 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1567, 3134, 4701, 9402, 10969, 21938, 32907

Step-4: Factors of 65824

List of positive integer factors of 65824 that divides 65814 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 65814 and 65824. The biggest common factor number is the GCF number.
So the greatest common factor 65814 and 65824 is 2.

Also check out the Least Common Multiple of 65814 and 65824