What is the Greatest Common Factor of 29430 and 29449?

Greatest common factor (GCF) of 29430 and 29449 is 1.

GCF(29430,29449) = 1

We will now calculate the prime factors of 29430 and 29449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29430 and 29449.

How to find the GCF of 29430 and 29449?

We will first find the prime factorization of 29430 and 29449. After we will calculate the factors of 29430 and 29449 and find the biggest common factor number .

Step-1: Prime Factorization of 29430

Prime factors of 29430 are 2, 3, 5, 109. Prime factorization of 29430 in exponential form is:

29430 = 2¹ × 3³ × 5¹ × 109¹

Step-2: Prime Factorization of 29449

Prime factors of 29449 are 7, 601. Prime factorization of 29449 in exponential form is:

29449 = 7² × 601¹

Step-3: Factors of 29430

List of positive integer factors of 29430 that divides 29430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 109, 135, 218, 270, 327, 545, 654, 981, 1090, 1635, 1962, 2943, 3270, 4905, 5886, 9810, 14715

Step-4: Factors of 29449

List of positive integer factors of 29449 that divides 29430 without a remainder.

1, 7, 49, 601, 4207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29430 and 29449. The biggest common factor number is the GCF number.
So the greatest common factor 29430 and 29449 is 1.

Also check out the Least Common Multiple of 29430 and 29449