What is the Greatest Common Factor of 29338 and 29356?

Greatest common factor (GCF) of 29338 and 29356 is 2.

GCF(29338,29356) = 2

We will now calculate the prime factors of 29338 and 29356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29338 and 29356.

How to find the GCF of 29338 and 29356?

We will first find the prime factorization of 29338 and 29356. After we will calculate the factors of 29338 and 29356 and find the biggest common factor number .

Step-1: Prime Factorization of 29338

Prime factors of 29338 are 2, 14669. Prime factorization of 29338 in exponential form is:

29338 = 2¹ × 14669¹

Step-2: Prime Factorization of 29356

Prime factors of 29356 are 2, 41, 179. Prime factorization of 29356 in exponential form is:

29356 = 2² × 41¹ × 179¹

Step-3: Factors of 29338

List of positive integer factors of 29338 that divides 29338 without a remainder.

1, 2, 14669

Step-4: Factors of 29356

List of positive integer factors of 29356 that divides 29338 without a remainder.

1, 2, 4, 41, 82, 164, 179, 358, 716, 7339, 14678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29338 and 29356. The biggest common factor number is the GCF number.
So the greatest common factor 29338 and 29356 is 2.

Also check out the Least Common Multiple of 29338 and 29356