What is the Greatest Common Factor of 30429 and 30435?

Greatest common factor (GCF) of 30429 and 30435 is 3.

GCF(30429,30435) = 3

We will now calculate the prime factors of 30429 and 30435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30429 and 30435.

How to find the GCF of 30429 and 30435?

We will first find the prime factorization of 30429 and 30435. After we will calculate the factors of 30429 and 30435 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 30435

Prime factors of 30435 are 3, 5, 2029. Prime factorization of 30435 in exponential form is:

30435 = 3¹ × 5¹ × 2029¹

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 30435

List of positive integer factors of 30435 that divides 30429 without a remainder.

1, 3, 5, 15, 2029, 6087, 10145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30429 and 30435. The biggest common factor number is the GCF number.
So the greatest common factor 30429 and 30435 is 3.

Also check out the Least Common Multiple of 30429 and 30435