What is the Greatest Common Factor of 30429 and 30442?

Greatest common factor (GCF) of 30429 and 30442 is 1.

GCF(30429,30442) = 1

We will now calculate the prime factors of 30429 and 30442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30429 and 30442.

How to find the GCF of 30429 and 30442?

We will first find the prime factorization of 30429 and 30442. After we will calculate the factors of 30429 and 30442 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 30442

Prime factors of 30442 are 2, 31, 491. Prime factorization of 30442 in exponential form is:

30442 = 2¹ × 31¹ × 491¹

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 30442

List of positive integer factors of 30442 that divides 30429 without a remainder.

1, 2, 31, 62, 491, 982, 15221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30429 and 30442. The biggest common factor number is the GCF number.
So the greatest common factor 30429 and 30442 is 1.

Also check out the Least Common Multiple of 30429 and 30442