What is the Greatest Common Factor of 9548 and 9562?

Greatest common factor (GCF) of 9548 and 9562 is 14.

GCF(9548,9562) = 14

We will now calculate the prime factors of 9548 and 9562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9548 and 9562.

How to find the GCF of 9548 and 9562?

We will first find the prime factorization of 9548 and 9562. After we will calculate the factors of 9548 and 9562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9562

Prime factors of 9562 are 2, 7, 683. Prime factorization of 9562 in exponential form is:

9562 = 2¹ × 7¹ × 683¹

Step-3: Factors of 9548

List of positive integer factors of 9548 that divides 9548 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

Step-4: Factors of 9562

List of positive integer factors of 9562 that divides 9548 without a remainder.

1, 2, 7, 14, 683, 1366, 4781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9548 and 9562. The biggest common factor number is the GCF number.
So the greatest common factor 9548 and 9562 is 14.

Also check out the Least Common Multiple of 9548 and 9562