What is the Greatest Common Factor of 29200 and 29205?

Greatest common factor (GCF) of 29200 and 29205 is 5.

GCF(29200,29205) = 5

We will now calculate the prime factors of 29200 and 29205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29200 and 29205.

How to find the GCF of 29200 and 29205?

We will first find the prime factorization of 29200 and 29205. After we will calculate the factors of 29200 and 29205 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 29205

Prime factors of 29205 are 3, 5, 11, 59. Prime factorization of 29205 in exponential form is:

29205 = 3² × 5¹ × 11¹ × 59¹

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 29205

List of positive integer factors of 29205 that divides 29200 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 59, 99, 165, 177, 295, 495, 531, 649, 885, 1947, 2655, 3245, 5841, 9735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29200 and 29205. The biggest common factor number is the GCF number.
So the greatest common factor 29200 and 29205 is 5.

Also check out the Least Common Multiple of 29200 and 29205