What is the Greatest Common Factor of 9429 and 9441?

Greatest common factor (GCF) of 9429 and 9441 is 3.

GCF(9429,9441) = 3

We will now calculate the prime factors of 9429 and 9441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9429 and 9441.

How to find the GCF of 9429 and 9441?

We will first find the prime factorization of 9429 and 9441. After we will calculate the factors of 9429 and 9441 and find the biggest common factor number .

Step-1: Prime Factorization of 9429

Prime factors of 9429 are 3, 7, 449. Prime factorization of 9429 in exponential form is:

9429 = 3¹ × 7¹ × 449¹

Step-2: Prime Factorization of 9441

Prime factors of 9441 are 3, 1049. Prime factorization of 9441 in exponential form is:

9441 = 3² × 1049¹

Step-3: Factors of 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1, 3, 7, 21, 449, 1347, 3143

Step-4: Factors of 9441

List of positive integer factors of 9441 that divides 9429 without a remainder.

1, 3, 9, 1049, 3147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9429 and 9441. The biggest common factor number is the GCF number.
So the greatest common factor 9429 and 9441 is 3.

Also check out the Least Common Multiple of 9429 and 9441