What is the Greatest Common Factor of 9344 and 9361?

Greatest common factor (GCF) of 9344 and 9361 is 1.

GCF(9344,9361) = 1

We will now calculate the prime factors of 9344 and 9361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9344 and 9361.

How to find the GCF of 9344 and 9361?

We will first find the prime factorization of 9344 and 9361. After we will calculate the factors of 9344 and 9361 and find the biggest common factor number .

Step-1: Prime Factorization of 9344

Prime factors of 9344 are 2, 73. Prime factorization of 9344 in exponential form is:

9344 = 2⁷ × 73¹

Step-2: Prime Factorization of 9361

Prime factors of 9361 are 11, 23, 37. Prime factorization of 9361 in exponential form is:

9361 = 11¹ × 23¹ × 37¹

Step-3: Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672

Step-4: Factors of 9361

List of positive integer factors of 9361 that divides 9344 without a remainder.

1, 11, 23, 37, 253, 407, 851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9344 and 9361. The biggest common factor number is the GCF number.
So the greatest common factor 9344 and 9361 is 1.

Also check out the Least Common Multiple of 9344 and 9361