What is the Greatest Common Factor of 29440 and 29454?

Greatest common factor (GCF) of 29440 and 29454 is 2.

GCF(29440,29454) = 2

We will now calculate the prime factors of 29440 and 29454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29440 and 29454.

How to find the GCF of 29440 and 29454?

We will first find the prime factorization of 29440 and 29454. After we will calculate the factors of 29440 and 29454 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 29454

Prime factors of 29454 are 2, 3, 4909. Prime factorization of 29454 in exponential form is:

29454 = 2¹ × 3¹ × 4909¹

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 29454

List of positive integer factors of 29454 that divides 29440 without a remainder.

1, 2, 3, 6, 4909, 9818, 14727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29440 and 29454. The biggest common factor number is the GCF number.
So the greatest common factor 29440 and 29454 is 2.

Also check out the Least Common Multiple of 29440 and 29454