What is the Greatest Common Factor of 29336 and 29355?

Greatest common factor (GCF) of 29336 and 29355 is 19.

GCF(29336,29355) = 19

We will now calculate the prime factors of 29336 and 29355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29336 and 29355.

How to find the GCF of 29336 and 29355?

We will first find the prime factorization of 29336 and 29355. After we will calculate the factors of 29336 and 29355 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 29355

Prime factors of 29355 are 3, 5, 19, 103. Prime factorization of 29355 in exponential form is:

29355 = 3¹ × 5¹ × 19¹ × 103¹

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 29355

List of positive integer factors of 29355 that divides 29336 without a remainder.

1, 3, 5, 15, 19, 57, 95, 103, 285, 309, 515, 1545, 1957, 5871, 9785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29336 and 29355. The biggest common factor number is the GCF number.
So the greatest common factor 29336 and 29355 is 19.

Also check out the Least Common Multiple of 29336 and 29355