What is the Greatest Common Factor of 29424 and 29430?

Greatest common factor (GCF) of 29424 and 29430 is 6.

GCF(29424,29430) = 6

We will now calculate the prime factors of 29424 and 29430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29424 and 29430.

How to find the GCF of 29424 and 29430?

We will first find the prime factorization of 29424 and 29430. After we will calculate the factors of 29424 and 29430 and find the biggest common factor number .

Step-1: Prime Factorization of 29424

Prime factors of 29424 are 2, 3, 613. Prime factorization of 29424 in exponential form is:

29424 = 2⁴ × 3¹ × 613¹

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 29424

List of positive integer factors of 29424 that divides 29424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712

Step-4: Factors of 29430

List of positive integer factors of 29430 that divides 29424 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 29424 and 29430. The biggest common factor number is the GCF number.
So the greatest common factor 29424 and 29430 is 6.

Also check out the Least Common Multiple of 29424 and 29430