What is the Greatest Common Factor of 9478 and 9484?

Greatest common factor (GCF) of 9478 and 9484 is 2.

GCF(9478,9484) = 2

We will now calculate the prime factors of 9478 and 9484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9478 and 9484.

How to find the GCF of 9478 and 9484?

We will first find the prime factorization of 9478 and 9484. After we will calculate the factors of 9478 and 9484 and find the biggest common factor number .

Step-1: Prime Factorization of 9478

Prime factors of 9478 are 2, 7, 677. Prime factorization of 9478 in exponential form is:

9478 = 2¹ × 7¹ × 677¹

Step-2: Prime Factorization of 9484

Prime factors of 9484 are 2, 2371. Prime factorization of 9484 in exponential form is:

9484 = 2² × 2371¹

Step-3: Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1, 2, 7, 14, 677, 1354, 4739

Step-4: Factors of 9484

List of positive integer factors of 9484 that divides 9478 without a remainder.

1, 2, 4, 2371, 4742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9478 and 9484. The biggest common factor number is the GCF number.
So the greatest common factor 9478 and 9484 is 2.

Also check out the Least Common Multiple of 9478 and 9484