What is the Greatest Common Factor of 29358 and 29365?

Greatest common factor (GCF) of 29358 and 29365 is 7.

GCF(29358,29365) = 7

We will now calculate the prime factors of 29358 and 29365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29358 and 29365.

How to find the GCF of 29358 and 29365?

We will first find the prime factorization of 29358 and 29365. After we will calculate the factors of 29358 and 29365 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 29365

Prime factors of 29365 are 5, 7, 839. Prime factorization of 29365 in exponential form is:

29365 = 5¹ × 7¹ × 839¹

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 29365

List of positive integer factors of 29365 that divides 29358 without a remainder.

1, 5, 7, 35, 839, 4195, 5873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29358 and 29365. The biggest common factor number is the GCF number.
So the greatest common factor 29358 and 29365 is 7.

Also check out the Least Common Multiple of 29358 and 29365