What is the Greatest Common Factor of 9438 and 9448?

Greatest common factor (GCF) of 9438 and 9448 is 2.

GCF(9438,9448) = 2

We will now calculate the prime factors of 9438 and 9448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9438 and 9448.

How to find the GCF of 9438 and 9448?

We will first find the prime factorization of 9438 and 9448. After we will calculate the factors of 9438 and 9448 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 9448

Prime factors of 9448 are 2, 1181. Prime factorization of 9448 in exponential form is:

9448 = 2³ × 1181¹

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 9448

List of positive integer factors of 9448 that divides 9438 without a remainder.

1, 2, 4, 8, 1181, 2362, 4724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9438 and 9448. The biggest common factor number is the GCF number.
So the greatest common factor 9438 and 9448 is 2.

Also check out the Least Common Multiple of 9438 and 9448