What is the Greatest Common Factor of 18193 and 18200?

Greatest common factor (GCF) of 18193 and 18200 is 7.

GCF(18193,18200) = 7

We will now calculate the prime factors of 18193 and 18200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18193 and 18200.

How to find the GCF of 18193 and 18200?

We will first find the prime factorization of 18193 and 18200. After we will calculate the factors of 18193 and 18200 and find the biggest common factor number .

Step-1: Prime Factorization of 18193

Prime factors of 18193 are 7, 23, 113. Prime factorization of 18193 in exponential form is:

18193 = 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 18200

Prime factors of 18200 are 2, 5, 7, 13. Prime factorization of 18200 in exponential form is:

18200 = 2³ × 5² × 7¹ × 13¹

Step-3: Factors of 18193

List of positive integer factors of 18193 that divides 18193 without a remainder.

1, 7, 23, 113, 161, 791, 2599

Step-4: Factors of 18200

List of positive integer factors of 18200 that divides 18193 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 130, 140, 175, 182, 200, 260, 280, 325, 350, 364, 455, 520, 650, 700, 728, 910, 1300, 1400, 1820, 2275, 2600, 3640, 4550, 9100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18193 and 18200. The biggest common factor number is the GCF number.
So the greatest common factor 18193 and 18200 is 7.

Also check out the Least Common Multiple of 18193 and 18200