What is the Greatest Common Factor of 9438 and 9453?

Greatest common factor (GCF) of 9438 and 9453 is 3.

GCF(9438,9453) = 3

We will now calculate the prime factors of 9438 and 9453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9438 and 9453.

How to find the GCF of 9438 and 9453?

We will first find the prime factorization of 9438 and 9453. After we will calculate the factors of 9438 and 9453 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9453

Prime factors of 9453 are 3, 23, 137. Prime factorization of 9453 in exponential form is:

9453 = 3¹ × 23¹ × 137¹

Step-3: Factors of 9438

List of positive integer factors of 9438 that divides 9438 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

Step-4: Factors of 9453

List of positive integer factors of 9453 that divides 9438 without a remainder.

1, 3, 23, 69, 137, 411, 3151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9438 and 9453. The biggest common factor number is the GCF number.
So the greatest common factor 9438 and 9453 is 3.

Also check out the Least Common Multiple of 9438 and 9453