What is the Greatest Common Factor of 9472 and 9489?

Greatest common factor (GCF) of 9472 and 9489 is 1.

GCF(9472,9489) = 1

We will now calculate the prime factors of 9472 and 9489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9472 and 9489.

How to find the GCF of 9472 and 9489?

We will first find the prime factorization of 9472 and 9489. After we will calculate the factors of 9472 and 9489 and find the biggest common factor number .

Step-1: Prime Factorization of 9472

Prime factors of 9472 are 2, 37. Prime factorization of 9472 in exponential form is:

9472 = 2⁸ × 37¹

Step-2: Prime Factorization of 9489

Prime factors of 9489 are 3, 3163. Prime factorization of 9489 in exponential form is:

9489 = 3¹ × 3163¹

Step-3: Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736

Step-4: Factors of 9489

List of positive integer factors of 9489 that divides 9472 without a remainder.

1, 3, 3163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9472 and 9489. The biggest common factor number is the GCF number.
So the greatest common factor 9472 and 9489 is 1.

Also check out the Least Common Multiple of 9472 and 9489