What is the Greatest Common Factor of 9528 and 9536?

Greatest common factor (GCF) of 9528 and 9536 is 8.

GCF(9528,9536) = 8

We will now calculate the prime factors of 9528 and 9536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9528 and 9536.

How to find the GCF of 9528 and 9536?

We will first find the prime factorization of 9528 and 9536. After we will calculate the factors of 9528 and 9536 and find the biggest common factor number .

Step-1: Prime Factorization of 9528

Prime factors of 9528 are 2, 3, 397. Prime factorization of 9528 in exponential form is:

9528 = 2³ × 3¹ × 397¹

Step-2: Prime Factorization of 9536

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

9536 = 2⁶ × 149¹

Step-3: Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764

Step-4: Factors of 9536

List of positive integer factors of 9536 that divides 9528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9528 and 9536. The biggest common factor number is the GCF number.
So the greatest common factor 9528 and 9536 is 8.

Also check out the Least Common Multiple of 9528 and 9536