What is the Greatest Common Factor of 9414 and 9431?

Greatest common factor (GCF) of 9414 and 9431 is 1.

GCF(9414,9431) = 1

We will now calculate the prime factors of 9414 and 9431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9414 and 9431.

How to find the GCF of 9414 and 9431?

We will first find the prime factorization of 9414 and 9431. After we will calculate the factors of 9414 and 9431 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 9431

Prime factors of 9431 are 9431. Prime factorization of 9431 in exponential form is:

9431 = 9431¹

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 9431

List of positive integer factors of 9431 that divides 9414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9414 and 9431. The biggest common factor number is the GCF number.
So the greatest common factor 9414 and 9431 is 1.

Also check out the Least Common Multiple of 9414 and 9431