What is the Greatest Common Factor of 29338 and 29358?

Greatest common factor (GCF) of 29338 and 29358 is 2.

GCF(29338,29358) = 2

We will now calculate the prime factors of 29338 and 29358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29338 and 29358.

How to find the GCF of 29338 and 29358?

We will first find the prime factorization of 29338 and 29358. After we will calculate the factors of 29338 and 29358 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 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 29338

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

1, 2, 14669

Step-4: Factors of 29358

List of positive integer factors of 29358 that divides 29338 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 29338 and 29358. The biggest common factor number is the GCF number.
So the greatest common factor 29338 and 29358 is 2.

Also check out the Least Common Multiple of 29338 and 29358