What is the Greatest Common Factor of 29600 and 29617?

Greatest common factor (GCF) of 29600 and 29617 is 1.

GCF(29600,29617) = 1

We will now calculate the prime factors of 29600 and 29617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29600 and 29617.

How to find the GCF of 29600 and 29617?

We will first find the prime factorization of 29600 and 29617. After we will calculate the factors of 29600 and 29617 and find the biggest common factor number .

Step-1: Prime Factorization of 29600

Prime factors of 29600 are 2, 5, 37. Prime factorization of 29600 in exponential form is:

29600 = 2⁵ × 5² × 37¹

Step-2: Prime Factorization of 29617

Prime factors of 29617 are 7, 4231. Prime factorization of 29617 in exponential form is:

29617 = 7¹ × 4231¹

Step-3: Factors of 29600

List of positive integer factors of 29600 that divides 29600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 37, 40, 50, 74, 80, 100, 148, 160, 185, 200, 296, 370, 400, 592, 740, 800, 925, 1184, 1480, 1850, 2960, 3700, 5920, 7400, 14800

Step-4: Factors of 29617

List of positive integer factors of 29617 that divides 29600 without a remainder.

1, 7, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29600 and 29617. The biggest common factor number is the GCF number.
So the greatest common factor 29600 and 29617 is 1.

Also check out the Least Common Multiple of 29600 and 29617