What is the Greatest Common Factor of 29440 and 29452?

Greatest common factor (GCF) of 29440 and 29452 is 4.

GCF(29440,29452) = 4

We will now calculate the prime factors of 29440 and 29452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29440 and 29452.

How to find the GCF of 29440 and 29452?

We will first find the prime factorization of 29440 and 29452. After we will calculate the factors of 29440 and 29452 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 29452

Prime factors of 29452 are 2, 37, 199. Prime factorization of 29452 in exponential form is:

29452 = 2² × 37¹ × 199¹

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 29452

List of positive integer factors of 29452 that divides 29440 without a remainder.

1, 2, 4, 37, 74, 148, 199, 398, 796, 7363, 14726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29440 and 29452. The biggest common factor number is the GCF number.
So the greatest common factor 29440 and 29452 is 4.

Also check out the Least Common Multiple of 29440 and 29452