What is the Greatest Common Factor of 29328 and 29344?

Greatest common factor (GCF) of 29328 and 29344 is 16.

GCF(29328,29344) = 16

We will now calculate the prime factors of 29328 and 29344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29328 and 29344.

How to find the GCF of 29328 and 29344?

We will first find the prime factorization of 29328 and 29344. After we will calculate the factors of 29328 and 29344 and find the biggest common factor number .

Step-1: Prime Factorization of 29328

Prime factors of 29328 are 2, 3, 13, 47. Prime factorization of 29328 in exponential form is:

29328 = 2⁴ × 3¹ × 13¹ × 47¹

Step-2: 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-3: Factors of 29328

List of positive integer factors of 29328 that divides 29328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 47, 48, 52, 78, 94, 104, 141, 156, 188, 208, 282, 312, 376, 564, 611, 624, 752, 1128, 1222, 1833, 2256, 2444, 3666, 4888, 7332, 9776, 14664

Step-4: Factors of 29344

List of positive integer factors of 29344 that divides 29328 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29328 and 29344. The biggest common factor number is the GCF number.
So the greatest common factor 29328 and 29344 is 16.

Also check out the Least Common Multiple of 29328 and 29344