What is the Greatest Common Factor of 9435 and 9447?

Greatest common factor (GCF) of 9435 and 9447 is 3.

GCF(9435,9447) = 3

We will now calculate the prime factors of 9435 and 9447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9435 and 9447.

How to find the GCF of 9435 and 9447?

We will first find the prime factorization of 9435 and 9447. After we will calculate the factors of 9435 and 9447 and find the biggest common factor number .

Step-1: Prime Factorization of 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 3¹ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 9447

Prime factors of 9447 are 3, 47, 67. Prime factorization of 9447 in exponential form is:

9447 = 3¹ × 47¹ × 67¹

Step-3: Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145

Step-4: Factors of 9447

List of positive integer factors of 9447 that divides 9435 without a remainder.

1, 3, 47, 67, 141, 201, 3149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9435 and 9447. The biggest common factor number is the GCF number.
So the greatest common factor 9435 and 9447 is 3.

Also check out the Least Common Multiple of 9435 and 9447