What is the Greatest Common Factor of 18200 and 18207?

Greatest common factor (GCF) of 18200 and 18207 is 7.

GCF(18200,18207) = 7

We will now calculate the prime factors of 18200 and 18207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18207.

How to find the GCF of 18200 and 18207?

We will first find the prime factorization of 18200 and 18207. After we will calculate the factors of 18200 and 18207 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18207

Prime factors of 18207 are 3, 7, 17. Prime factorization of 18207 in exponential form is:

18207 = 3² × 7¹ × 17²

Step-3: Factors of 18200

List of positive integer factors of 18200 that divides 18200 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

Step-4: Factors of 18207

List of positive integer factors of 18207 that divides 18200 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 289, 357, 867, 1071, 2023, 2601, 6069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18207. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18207 is 7.

Also check out the Least Common Multiple of 18200 and 18207