What is the Greatest Common Factor of 29408 and 29415?

Greatest common factor (GCF) of 29408 and 29415 is 1.

GCF(29408,29415) = 1

We will now calculate the prime factors of 29408 and 29415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29408 and 29415.

How to find the GCF of 29408 and 29415?

We will first find the prime factorization of 29408 and 29415. After we will calculate the factors of 29408 and 29415 and find the biggest common factor number .

Step-1: Prime Factorization of 29408

Prime factors of 29408 are 2, 919. Prime factorization of 29408 in exponential form is:

29408 = 2⁵ × 919¹

Step-2: 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-3: Factors of 29408

List of positive integer factors of 29408 that divides 29408 without a remainder.

1, 2, 4, 8, 16, 32, 919, 1838, 3676, 7352, 14704

Step-4: Factors of 29415

List of positive integer factors of 29415 that divides 29408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29408 and 29415. The biggest common factor number is the GCF number.
So the greatest common factor 29408 and 29415 is 1.

Also check out the Least Common Multiple of 29408 and 29415