What is the Greatest Common Factor of 9435 and 9440?

Greatest common factor (GCF) of 9435 and 9440 is 5.

GCF(9435,9440) = 5

We will now calculate the prime factors of 9435 and 9440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9435 and 9440.

How to find the GCF of 9435 and 9440?

We will first find the prime factorization of 9435 and 9440. After we will calculate the factors of 9435 and 9440 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 9440

Prime factors of 9440 are 2, 5, 59. Prime factorization of 9440 in exponential form is:

9440 = 2⁵ × 5¹ × 59¹

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 9440

List of positive integer factors of 9440 that divides 9435 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9435 and 9440. The biggest common factor number is the GCF number.
So the greatest common factor 9435 and 9440 is 5.

Also check out the Least Common Multiple of 9435 and 9440