What is the Greatest Common Factor of 38709 and 38718?

Greatest common factor (GCF) of 38709 and 38718 is 9.

GCF(38709,38718) = 9

We will now calculate the prime factors of 38709 and 38718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38709 and 38718.

How to find the GCF of 38709 and 38718?

We will first find the prime factorization of 38709 and 38718. After we will calculate the factors of 38709 and 38718 and find the biggest common factor number .

Step-1: Prime Factorization of 38709

Prime factors of 38709 are 3, 11, 17, 23. Prime factorization of 38709 in exponential form is:

38709 = 3² × 11¹ × 17¹ × 23¹

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 38709

List of positive integer factors of 38709 that divides 38709 without a remainder.

1, 3, 9, 11, 17, 23, 33, 51, 69, 99, 153, 187, 207, 253, 391, 561, 759, 1173, 1683, 2277, 3519, 4301, 12903

Step-4: Factors of 38718

List of positive integer factors of 38718 that divides 38709 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 38709 and 38718. The biggest common factor number is the GCF number.
So the greatest common factor 38709 and 38718 is 9.

Also check out the Least Common Multiple of 38709 and 38718