What is the Greatest Common Factor of 9438 and 9451?

Greatest common factor (GCF) of 9438 and 9451 is 13.

GCF(9438,9451) = 13

We will now calculate the prime factors of 9438 and 9451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9438 and 9451.

How to find the GCF of 9438 and 9451?

We will first find the prime factorization of 9438 and 9451. After we will calculate the factors of 9438 and 9451 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 9451

Prime factors of 9451 are 13, 727. Prime factorization of 9451 in exponential form is:

9451 = 13¹ × 727¹

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 9451

List of positive integer factors of 9451 that divides 9438 without a remainder.

1, 13, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9438 and 9451. The biggest common factor number is the GCF number.
So the greatest common factor 9438 and 9451 is 13.

Also check out the Least Common Multiple of 9438 and 9451