What is the Greatest Common Factor of 29358 and 29378?

Greatest common factor (GCF) of 29358 and 29378 is 2.

GCF(29358,29378) = 2

We will now calculate the prime factors of 29358 and 29378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29358 and 29378.

How to find the GCF of 29358 and 29378?

We will first find the prime factorization of 29358 and 29378. After we will calculate the factors of 29358 and 29378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29378

Prime factors of 29378 are 2, 37, 397. Prime factorization of 29378 in exponential form is:

29378 = 2¹ × 37¹ × 397¹

Step-3: Factors of 29358

List of positive integer factors of 29358 that divides 29358 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

Step-4: Factors of 29378

List of positive integer factors of 29378 that divides 29358 without a remainder.

1, 2, 37, 74, 397, 794, 14689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29358 and 29378. The biggest common factor number is the GCF number.
So the greatest common factor 29358 and 29378 is 2.

Also check out the Least Common Multiple of 29358 and 29378