What is the Greatest Common Factor of 38700 and 38718?

Greatest common factor (GCF) of 38700 and 38718 is 18.

GCF(38700,38718) = 18

We will now calculate the prime factors of 38700 and 38718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38700 and 38718.

How to find the GCF of 38700 and 38718?

We will first find the prime factorization of 38700 and 38718. After we will calculate the factors of 38700 and 38718 and find the biggest common factor number .

Step-1: Prime Factorization of 38700

Prime factors of 38700 are 2, 3, 5, 43. Prime factorization of 38700 in exponential form is:

38700 = 2² × 3² × 5² × 43¹

Step-2: Prime Factorization of 38718

Prime factors of 38718 are 2, 3, 239. Prime factorization of 38718 in exponential form is:

38718 = 2¹ × 3⁴ × 239¹

Step-3: Factors of 38700

List of positive integer factors of 38700 that divides 38700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 43, 45, 50, 60, 75, 86, 90, 100, 129, 150, 172, 180, 215, 225, 258, 300, 387, 430, 450, 516, 645, 774, 860, 900, 1075, 1290, 1548, 1935, 2150, 2580, 3225, 3870, 4300, 6450, 7740, 9675, 12900, 19350

Step-4: Factors of 38718

List of positive integer factors of 38718 that divides 38700 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 239, 478, 717, 1434, 2151, 4302, 6453, 12906, 19359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38700 and 38718. The biggest common factor number is the GCF number.
So the greatest common factor 38700 and 38718 is 18.

Also check out the Least Common Multiple of 38700 and 38718