What is the Greatest Common Factor of 29413 and 29430?

Greatest common factor (GCF) of 29413 and 29430 is 1.

GCF(29413,29430) = 1

We will now calculate the prime factors of 29413 and 29430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29413 and 29430.

How to find the GCF of 29413 and 29430?

We will first find the prime factorization of 29413 and 29430. After we will calculate the factors of 29413 and 29430 and find the biggest common factor number .

Step-1: Prime Factorization of 29413

Prime factors of 29413 are 67, 439. Prime factorization of 29413 in exponential form is:

29413 = 67¹ × 439¹

Step-2: 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-3: Factors of 29413

List of positive integer factors of 29413 that divides 29413 without a remainder.

1, 67, 439

Step-4: Factors of 29430

List of positive integer factors of 29430 that divides 29413 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29413 and 29430. The biggest common factor number is the GCF number.
So the greatest common factor 29413 and 29430 is 1.

Also check out the Least Common Multiple of 29413 and 29430