What is the Greatest Common Factor of 9435 and 9450?

Greatest common factor (GCF) of 9435 and 9450 is 15.

GCF(9435,9450) = 15

We will now calculate the prime factors of 9435 and 9450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9435 and 9450.

How to find the GCF of 9435 and 9450?

We will first find the prime factorization of 9435 and 9450. After we will calculate the factors of 9435 and 9450 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 9450

Prime factors of 9450 are 2, 3, 5, 7. Prime factorization of 9450 in exponential form is:

9450 = 2¹ × 3³ × 5² × 7¹

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 9450

List of positive integer factors of 9450 that divides 9435 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9435 and 9450. The biggest common factor number is the GCF number.
So the greatest common factor 9435 and 9450 is 15.

Also check out the Least Common Multiple of 9435 and 9450