What is the Greatest Common Factor of 9440 and 9455?

Greatest common factor (GCF) of 9440 and 9455 is 5.

GCF(9440,9455) = 5

We will now calculate the prime factors of 9440 and 9455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9440 and 9455.

How to find the GCF of 9440 and 9455?

We will first find the prime factorization of 9440 and 9455. After we will calculate the factors of 9440 and 9455 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9455

Prime factors of 9455 are 5, 31, 61. Prime factorization of 9455 in exponential form is:

9455 = 5¹ × 31¹ × 61¹

Step-3: Factors of 9440

List of positive integer factors of 9440 that divides 9440 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

Step-4: Factors of 9455

List of positive integer factors of 9455 that divides 9440 without a remainder.

1, 5, 31, 61, 155, 305, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9440 and 9455. The biggest common factor number is the GCF number.
So the greatest common factor 9440 and 9455 is 5.

Also check out the Least Common Multiple of 9440 and 9455