What is the Greatest Common Factor of 29440 and 29449?

Greatest common factor (GCF) of 29440 and 29449 is 1.

GCF(29440,29449) = 1

We will now calculate the prime factors of 29440 and 29449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29440 and 29449.

How to find the GCF of 29440 and 29449?

We will first find the prime factorization of 29440 and 29449. After we will calculate the factors of 29440 and 29449 and find the biggest common factor number .

Step-1: Prime Factorization of 29440

Prime factors of 29440 are 2, 5, 23. Prime factorization of 29440 in exponential form is:

29440 = 2⁸ × 5¹ × 23¹

Step-2: Prime Factorization of 29449

Prime factors of 29449 are 7, 601. Prime factorization of 29449 in exponential form is:

29449 = 7² × 601¹

Step-3: Factors of 29440

List of positive integer factors of 29440 that divides 29440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 256, 320, 368, 460, 640, 736, 920, 1280, 1472, 1840, 2944, 3680, 5888, 7360, 14720

Step-4: Factors of 29449

List of positive integer factors of 29449 that divides 29440 without a remainder.

1, 7, 49, 601, 4207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29440 and 29449. The biggest common factor number is the GCF number.
So the greatest common factor 29440 and 29449 is 1.

Also check out the Least Common Multiple of 29440 and 29449