What is the Greatest Common Factor of 9581 and 9592?

Greatest common factor (GCF) of 9581 and 9592 is 11.

GCF(9581,9592) = 11

We will now calculate the prime factors of 9581 and 9592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9581 and 9592.

How to find the GCF of 9581 and 9592?

We will first find the prime factorization of 9581 and 9592. After we will calculate the factors of 9581 and 9592 and find the biggest common factor number .

Step-1: Prime Factorization of 9581

Prime factors of 9581 are 11, 13, 67. Prime factorization of 9581 in exponential form is:

9581 = 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 9592

Prime factors of 9592 are 2, 11, 109. Prime factorization of 9592 in exponential form is:

9592 = 2³ × 11¹ × 109¹

Step-3: Factors of 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1, 11, 13, 67, 143, 737, 871

Step-4: Factors of 9592

List of positive integer factors of 9592 that divides 9581 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9581 and 9592. The biggest common factor number is the GCF number.
So the greatest common factor 9581 and 9592 is 11.

Also check out the Least Common Multiple of 9581 and 9592