What is the Greatest Common Factor of 29415 and 29430?

Greatest common factor (GCF) of 29415 and 29430 is 15.

GCF(29415,29430) = 15

We will now calculate the prime factors of 29415 and 29430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29415 and 29430.

How to find the GCF of 29415 and 29430?

We will first find the prime factorization of 29415 and 29430. After we will calculate the factors of 29415 and 29430 and find the biggest common factor number .

Step-1: Prime Factorization of 29415

Prime factors of 29415 are 3, 5, 37, 53. Prime factorization of 29415 in exponential form is:

29415 = 3¹ × 5¹ × 37¹ × 53¹

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 29415

List of positive integer factors of 29415 that divides 29415 without a remainder.

1, 3, 5, 15, 37, 53, 111, 159, 185, 265, 555, 795, 1961, 5883, 9805

Step-4: Factors of 29430

List of positive integer factors of 29430 that divides 29415 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 29415 and 29430. The biggest common factor number is the GCF number.
So the greatest common factor 29415 and 29430 is 15.

Also check out the Least Common Multiple of 29415 and 29430