What is the Greatest Common Factor of 9414 and 9432?

Greatest common factor (GCF) of 9414 and 9432 is 18.

GCF(9414,9432) = 18

We will now calculate the prime factors of 9414 and 9432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9414 and 9432.

How to find the GCF of 9414 and 9432?

We will first find the prime factorization of 9414 and 9432. After we will calculate the factors of 9414 and 9432 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 9432

Prime factors of 9432 are 2, 3, 131. Prime factorization of 9432 in exponential form is:

9432 = 2³ × 3² × 131¹

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 9432

List of positive integer factors of 9432 that divides 9414 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9414 and 9432. The biggest common factor number is the GCF number.
So the greatest common factor 9414 and 9432 is 18.

Also check out the Least Common Multiple of 9414 and 9432