What is the Greatest Common Factor of 65339 and 65344?

Greatest common factor (GCF) of 65339 and 65344 is 1.

GCF(65339,65344) = 1

We will now calculate the prime factors of 65339 and 65344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65339 and 65344.

How to find the GCF of 65339 and 65344?

We will first find the prime factorization of 65339 and 65344. After we will calculate the factors of 65339 and 65344 and find the biggest common factor number .

Step-1: Prime Factorization of 65339

Prime factors of 65339 are 223, 293. Prime factorization of 65339 in exponential form is:

65339 = 223¹ × 293¹

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 65339

List of positive integer factors of 65339 that divides 65339 without a remainder.

1, 223, 293

Step-4: Factors of 65344

List of positive integer factors of 65344 that divides 65339 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 65339 and 65344. The biggest common factor number is the GCF number.
So the greatest common factor 65339 and 65344 is 1.

Also check out the Least Common Multiple of 65339 and 65344