What is the Greatest Common Factor of 9414 and 9423?

Greatest common factor (GCF) of 9414 and 9423 is 9.

GCF(9414,9423) = 9

We will now calculate the prime factors of 9414 and 9423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9414 and 9423.

How to find the GCF of 9414 and 9423?

We will first find the prime factorization of 9414 and 9423. After we will calculate the factors of 9414 and 9423 and find the biggest common factor number .

Step-1: Prime Factorization of 9414

Prime factors of 9414 are 2, 3, 523. Prime factorization of 9414 in exponential form is:

9414 = 2¹ × 3² × 523¹

Step-2: Prime Factorization of 9423

Prime factors of 9423 are 3, 349. Prime factorization of 9423 in exponential form is:

9423 = 3³ × 349¹

Step-3: Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707

Step-4: Factors of 9423

List of positive integer factors of 9423 that divides 9414 without a remainder.

1, 3, 9, 27, 349, 1047, 3141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9414 and 9423. The biggest common factor number is the GCF number.
So the greatest common factor 9414 and 9423 is 9.

Also check out the Least Common Multiple of 9414 and 9423