What is the Greatest Common Factor of 9536 and 9548?

Greatest common factor (GCF) of 9536 and 9548 is 4.

GCF(9536,9548) = 4

We will now calculate the prime factors of 9536 and 9548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9536 and 9548.

How to find the GCF of 9536 and 9548?

We will first find the prime factorization of 9536 and 9548. After we will calculate the factors of 9536 and 9548 and find the biggest common factor number .

Step-1: Prime Factorization of 9536

Prime factors of 9536 are 2, 149. Prime factorization of 9536 in exponential form is:

9536 = 2⁶ × 149¹

Step-2: Prime Factorization of 9548

Prime factors of 9548 are 2, 7, 11, 31. Prime factorization of 9548 in exponential form is:

9548 = 2² × 7¹ × 11¹ × 31¹

Step-3: Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768

Step-4: Factors of 9548

List of positive integer factors of 9548 that divides 9536 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9536 and 9548. The biggest common factor number is the GCF number.
So the greatest common factor 9536 and 9548 is 4.

Also check out the Least Common Multiple of 9536 and 9548