What is the Greatest Common Factor of 29349 and 29358?

Greatest common factor (GCF) of 29349 and 29358 is 9.

GCF(29349,29358) = 9

We will now calculate the prime factors of 29349 and 29358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29349 and 29358.

How to find the GCF of 29349 and 29358?

We will first find the prime factorization of 29349 and 29358. After we will calculate the factors of 29349 and 29358 and find the biggest common factor number .

Step-1: Prime Factorization of 29349

Prime factors of 29349 are 3, 1087. Prime factorization of 29349 in exponential form is:

29349 = 3³ × 1087¹

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 29349

List of positive integer factors of 29349 that divides 29349 without a remainder.

1, 3, 9, 27, 1087, 3261, 9783

Step-4: Factors of 29358

List of positive integer factors of 29358 that divides 29349 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 29349 and 29358. The biggest common factor number is the GCF number.
So the greatest common factor 29349 and 29358 is 9.

Also check out the Least Common Multiple of 29349 and 29358