What is the Greatest Common Factor of 29440 and 29446?

Greatest common factor (GCF) of 29440 and 29446 is 2.

GCF(29440,29446) = 2

We will now calculate the prime factors of 29440 and 29446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29440 and 29446.

How to find the GCF of 29440 and 29446?

We will first find the prime factorization of 29440 and 29446. After we will calculate the factors of 29440 and 29446 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 29446

Prime factors of 29446 are 2, 14723. Prime factorization of 29446 in exponential form is:

29446 = 2¹ × 14723¹

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 29446

List of positive integer factors of 29446 that divides 29440 without a remainder.

1, 2, 14723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29440 and 29446. The biggest common factor number is the GCF number.
So the greatest common factor 29440 and 29446 is 2.

Also check out the Least Common Multiple of 29440 and 29446