What is the Greatest Common Factor of 29415 and 29424?

Greatest common factor (GCF) of 29415 and 29424 is 3.

GCF(29415,29424) = 3

We will now calculate the prime factors of 29415 and 29424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29415 and 29424.

How to find the GCF of 29415 and 29424?

We will first find the prime factorization of 29415 and 29424. After we will calculate the factors of 29415 and 29424 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 29424

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

29424 = 2⁴ × 3¹ × 613¹

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 29424

List of positive integer factors of 29424 that divides 29415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29415 and 29424. The biggest common factor number is the GCF number.
So the greatest common factor 29415 and 29424 is 3.

Also check out the Least Common Multiple of 29415 and 29424