What is the Greatest Common Factor of 99200 and 99205?

Greatest common factor (GCF) of 99200 and 99205 is 5.

GCF(99200,99205) = 5

We will now calculate the prime factors of 99200 and 99205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99200 and 99205.

How to find the GCF of 99200 and 99205?

We will first find the prime factorization of 99200 and 99205. After we will calculate the factors of 99200 and 99205 and find the biggest common factor number .

Step-1: Prime Factorization of 99200

Prime factors of 99200 are 2, 5, 31. Prime factorization of 99200 in exponential form is:

99200 = 2⁷ × 5² × 31¹

Step-2: Prime Factorization of 99205

Prime factors of 99205 are 5, 19841. Prime factorization of 99205 in exponential form is:

99205 = 5¹ × 19841¹

Step-3: Factors of 99200

List of positive integer factors of 99200 that divides 99200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 64, 80, 100, 124, 128, 155, 160, 200, 248, 310, 320, 400, 496, 620, 640, 775, 800, 992, 1240, 1550, 1600, 1984, 2480, 3100, 3200, 3968, 4960, 6200, 9920, 12400, 19840, 24800, 49600

Step-4: Factors of 99205

List of positive integer factors of 99205 that divides 99200 without a remainder.

1, 5, 19841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99200 and 99205. The biggest common factor number is the GCF number.
So the greatest common factor 99200 and 99205 is 5.

Also check out the Least Common Multiple of 99200 and 99205