What is the Greatest Common Factor of 30429 and 30434?

Greatest common factor (GCF) of 30429 and 30434 is 1.

GCF(30429,30434) = 1

We will now calculate the prime factors of 30429 and 30434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30429 and 30434.

How to find the GCF of 30429 and 30434?

We will first find the prime factorization of 30429 and 30434. After we will calculate the factors of 30429 and 30434 and find the biggest common factor number .

Step-1: Prime Factorization of 30429

Prime factors of 30429 are 3, 7, 23. Prime factorization of 30429 in exponential form is:

30429 = 3³ × 7² × 23¹

Step-2: Prime Factorization of 30434

Prime factors of 30434 are 2, 15217. Prime factorization of 30434 in exponential form is:

30434 = 2¹ × 15217¹

Step-3: Factors of 30429

List of positive integer factors of 30429 that divides 30429 without a remainder.

1, 3, 7, 9, 21, 23, 27, 49, 63, 69, 147, 161, 189, 207, 441, 483, 621, 1127, 1323, 1449, 3381, 4347, 10143

Step-4: Factors of 30434

List of positive integer factors of 30434 that divides 30429 without a remainder.

1, 2, 15217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30429 and 30434. The biggest common factor number is the GCF number.
So the greatest common factor 30429 and 30434 is 1.

Also check out the Least Common Multiple of 30429 and 30434