What is the Greatest Common Factor of 9429 and 9438?

Greatest common factor (GCF) of 9429 and 9438 is 3.

GCF(9429,9438) = 3

We will now calculate the prime factors of 9429 and 9438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9429 and 9438.

How to find the GCF of 9429 and 9438?

We will first find the prime factorization of 9429 and 9438. After we will calculate the factors of 9429 and 9438 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 9438

Prime factors of 9438 are 2, 3, 11, 13. Prime factorization of 9438 in exponential form is:

9438 = 2¹ × 3¹ × 11² × 13¹

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 9438

List of positive integer factors of 9438 that divides 9429 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9429 and 9438. The biggest common factor number is the GCF number.
So the greatest common factor 9429 and 9438 is 3.

Also check out the Least Common Multiple of 9429 and 9438