What is the Greatest Common Factor of 29200 and 29216?

Greatest common factor (GCF) of 29200 and 29216 is 16.

GCF(29200,29216) = 16

We will now calculate the prime factors of 29200 and 29216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29200 and 29216.

How to find the GCF of 29200 and 29216?

We will first find the prime factorization of 29200 and 29216. After we will calculate the factors of 29200 and 29216 and find the biggest common factor number .

Step-1: Prime Factorization of 29200

Prime factors of 29200 are 2, 5, 73. Prime factorization of 29200 in exponential form is:

29200 = 2⁴ × 5² × 73¹

Step-2: Prime Factorization of 29216

Prime factors of 29216 are 2, 11, 83. Prime factorization of 29216 in exponential form is:

29216 = 2⁵ × 11¹ × 83¹

Step-3: Factors of 29200

List of positive integer factors of 29200 that divides 29200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 73, 80, 100, 146, 200, 292, 365, 400, 584, 730, 1168, 1460, 1825, 2920, 3650, 5840, 7300, 14600

Step-4: Factors of 29216

List of positive integer factors of 29216 that divides 29200 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 83, 88, 166, 176, 332, 352, 664, 913, 1328, 1826, 2656, 3652, 7304, 14608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29200 and 29216. The biggest common factor number is the GCF number.
So the greatest common factor 29200 and 29216 is 16.

Also check out the Least Common Multiple of 29200 and 29216