What is the Greatest Common Factor of 29344 and 29358?

Greatest common factor (GCF) of 29344 and 29358 is 14.

GCF(29344,29358) = 14

We will now calculate the prime factors of 29344 and 29358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29344 and 29358.

How to find the GCF of 29344 and 29358?

We will first find the prime factorization of 29344 and 29358. After we will calculate the factors of 29344 and 29358 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 29358

Prime factors of 29358 are 2, 3, 7, 233. Prime factorization of 29358 in exponential form is:

29358 = 2¹ × 3² × 7¹ × 233¹

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 29358

List of positive integer factors of 29358 that divides 29344 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 233, 466, 699, 1398, 1631, 2097, 3262, 4194, 4893, 9786, 14679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29344 and 29358. The biggest common factor number is the GCF number.
So the greatest common factor 29344 and 29358 is 14.

Also check out the Least Common Multiple of 29344 and 29358