What is the Greatest Common Factor of 29408 and 29417?

Greatest common factor (GCF) of 29408 and 29417 is 1.

GCF(29408,29417) = 1

We will now calculate the prime factors of 29408 and 29417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29408 and 29417.

How to find the GCF of 29408 and 29417?

We will first find the prime factorization of 29408 and 29417. After we will calculate the factors of 29408 and 29417 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 29417

Prime factors of 29417 are 23, 1279. Prime factorization of 29417 in exponential form is:

29417 = 23¹ × 1279¹

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 29417

List of positive integer factors of 29417 that divides 29408 without a remainder.

1, 23, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29408 and 29417. The biggest common factor number is the GCF number.
So the greatest common factor 29408 and 29417 is 1.

Also check out the Least Common Multiple of 29408 and 29417