What is the Greatest Common Factor of 65338 and 65344?

Greatest common factor (GCF) of 65338 and 65344 is 2.

GCF(65338,65344) = 2

We will now calculate the prime factors of 65338 and 65344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65338 and 65344.

How to find the GCF of 65338 and 65344?

We will first find the prime factorization of 65338 and 65344. After we will calculate the factors of 65338 and 65344 and find the biggest common factor number .

Step-1: Prime Factorization of 65338

Prime factors of 65338 are 2, 7, 13, 359. Prime factorization of 65338 in exponential form is:

65338 = 2¹ × 7¹ × 13¹ × 359¹

Step-2: Prime Factorization of 65344

Prime factors of 65344 are 2, 1021. Prime factorization of 65344 in exponential form is:

65344 = 2⁶ × 1021¹

Step-3: Factors of 65338

List of positive integer factors of 65338 that divides 65338 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 359, 718, 2513, 4667, 5026, 9334, 32669

Step-4: Factors of 65344

List of positive integer factors of 65344 that divides 65338 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1021, 2042, 4084, 8168, 16336, 32672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65338 and 65344. The biggest common factor number is the GCF number.
So the greatest common factor 65338 and 65344 is 2.

Also check out the Least Common Multiple of 65338 and 65344