What is the Greatest Common Factor of 65344 and 65358?

Greatest common factor (GCF) of 65344 and 65358 is 2.

GCF(65344,65358) = 2

We will now calculate the prime factors of 65344 and 65358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65344 and 65358.

How to find the GCF of 65344 and 65358?

We will first find the prime factorization of 65344 and 65358. After we will calculate the factors of 65344 and 65358 and find the biggest common factor number .

Step-1: Prime Factorization of 65344

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

65344 = 2⁶ × 1021¹

Step-2: Prime Factorization of 65358

Prime factors of 65358 are 2, 3, 3631. Prime factorization of 65358 in exponential form is:

65358 = 2¹ × 3² × 3631¹

Step-3: Factors of 65344

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

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

Step-4: Factors of 65358

List of positive integer factors of 65358 that divides 65344 without a remainder.

1, 2, 3, 6, 9, 18, 3631, 7262, 10893, 21786, 32679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65344 and 65358. The biggest common factor number is the GCF number.
So the greatest common factor 65344 and 65358 is 2.

Also check out the Least Common Multiple of 65344 and 65358