What is the Greatest Common Factor of 9534 and 9548?

Greatest common factor (GCF) of 9534 and 9548 is 14.

GCF(9534,9548) = 14

We will now calculate the prime factors of 9534 and 9548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9534 and 9548.

How to find the GCF of 9534 and 9548?

We will first find the prime factorization of 9534 and 9548. After we will calculate the factors of 9534 and 9548 and find the biggest common factor number .

Step-1: Prime Factorization of 9534

Prime factors of 9534 are 2, 3, 7, 227. Prime factorization of 9534 in exponential form is:

9534 = 2¹ × 3¹ × 7¹ × 227¹

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 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767

Step-4: Factors of 9548

List of positive integer factors of 9548 that divides 9534 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 9534 and 9548. The biggest common factor number is the GCF number.
So the greatest common factor 9534 and 9548 is 14.

Also check out the Least Common Multiple of 9534 and 9548