What is the Greatest Common Factor of 29600 and 29605?

Greatest common factor (GCF) of 29600 and 29605 is 5.

GCF(29600,29605) = 5

We will now calculate the prime factors of 29600 and 29605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29600 and 29605.

How to find the GCF of 29600 and 29605?

We will first find the prime factorization of 29600 and 29605. After we will calculate the factors of 29600 and 29605 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 29605

Prime factors of 29605 are 5, 31, 191. Prime factorization of 29605 in exponential form is:

29605 = 5¹ × 31¹ × 191¹

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 29605

List of positive integer factors of 29605 that divides 29600 without a remainder.

1, 5, 31, 155, 191, 955, 5921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29600 and 29605. The biggest common factor number is the GCF number.
So the greatest common factor 29600 and 29605 is 5.

Also check out the Least Common Multiple of 29600 and 29605