What is the Greatest Common Factor of 29344 and 29360?

Greatest common factor (GCF) of 29344 and 29360 is 16.

GCF(29344,29360) = 16

We will now calculate the prime factors of 29344 and 29360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29344 and 29360.

How to find the GCF of 29344 and 29360?

We will first find the prime factorization of 29344 and 29360. After we will calculate the factors of 29344 and 29360 and find the biggest common factor number .

Step-1: Prime Factorization of 29344

Prime factors of 29344 are 2, 7, 131. Prime factorization of 29344 in exponential form is:

29344 = 2⁵ × 7¹ × 131¹

Step-2: Prime Factorization of 29360

Prime factors of 29360 are 2, 5, 367. Prime factorization of 29360 in exponential form is:

29360 = 2⁴ × 5¹ × 367¹

Step-3: Factors of 29344

List of positive integer factors of 29344 that divides 29344 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 131, 224, 262, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 14672

Step-4: Factors of 29360

List of positive integer factors of 29360 that divides 29344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 367, 734, 1468, 1835, 2936, 3670, 5872, 7340, 14680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29344 and 29360. The biggest common factor number is the GCF number.
So the greatest common factor 29344 and 29360 is 16.

Also check out the Least Common Multiple of 29344 and 29360