What is the Greatest Common Factor of 29430 and 29438?

Greatest common factor (GCF) of 29430 and 29438 is 2.

GCF(29430,29438) = 2

We will now calculate the prime factors of 29430 and 29438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29430 and 29438.

How to find the GCF of 29430 and 29438?

We will first find the prime factorization of 29430 and 29438. After we will calculate the factors of 29430 and 29438 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 29438

Prime factors of 29438 are 2, 41, 359. Prime factorization of 29438 in exponential form is:

29438 = 2¹ × 41¹ × 359¹

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 29438

List of positive integer factors of 29438 that divides 29430 without a remainder.

1, 2, 41, 82, 359, 718, 14719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29430 and 29438. The biggest common factor number is the GCF number.
So the greatest common factor 29430 and 29438 is 2.

Also check out the Least Common Multiple of 29430 and 29438