What is the Greatest Common Factor of 30429 and 30440?

Greatest common factor (GCF) of 30429 and 30440 is 1.

GCF(30429,30440) = 1

We will now calculate the prime factors of 30429 and 30440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30429 and 30440.

How to find the GCF of 30429 and 30440?

We will first find the prime factorization of 30429 and 30440. After we will calculate the factors of 30429 and 30440 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 30440

Prime factors of 30440 are 2, 5, 761. Prime factorization of 30440 in exponential form is:

30440 = 2³ × 5¹ × 761¹

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 30440

List of positive integer factors of 30440 that divides 30429 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 761, 1522, 3044, 3805, 6088, 7610, 15220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30429 and 30440. The biggest common factor number is the GCF number.
So the greatest common factor 30429 and 30440 is 1.

Also check out the Least Common Multiple of 30429 and 30440