What is the Greatest Common Factor of 9440 and 9449?

Greatest common factor (GCF) of 9440 and 9449 is 1.

GCF(9440,9449) = 1

We will now calculate the prime factors of 9440 and 9449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9440 and 9449.

How to find the GCF of 9440 and 9449?

We will first find the prime factorization of 9440 and 9449. After we will calculate the factors of 9440 and 9449 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 9449

Prime factors of 9449 are 11, 859. Prime factorization of 9449 in exponential form is:

9449 = 11¹ × 859¹

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 9449

List of positive integer factors of 9449 that divides 9440 without a remainder.

1, 11, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9440 and 9449. The biggest common factor number is the GCF number.
So the greatest common factor 9440 and 9449 is 1.

Also check out the Least Common Multiple of 9440 and 9449