What is the Greatest Common Factor of 29336 and 29349?

Greatest common factor (GCF) of 29336 and 29349 is 1.

GCF(29336,29349) = 1

We will now calculate the prime factors of 29336 and 29349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29336 and 29349.

How to find the GCF of 29336 and 29349?

We will first find the prime factorization of 29336 and 29349. After we will calculate the factors of 29336 and 29349 and find the biggest common factor number .

Step-1: Prime Factorization of 29336

Prime factors of 29336 are 2, 19, 193. Prime factorization of 29336 in exponential form is:

29336 = 2³ × 19¹ × 193¹

Step-2: Prime Factorization of 29349

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

29349 = 3³ × 1087¹

Step-3: Factors of 29336

List of positive integer factors of 29336 that divides 29336 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 193, 386, 772, 1544, 3667, 7334, 14668

Step-4: Factors of 29349

List of positive integer factors of 29349 that divides 29336 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29336 and 29349. The biggest common factor number is the GCF number.
So the greatest common factor 29336 and 29349 is 1.

Also check out the Least Common Multiple of 29336 and 29349