What is the Greatest Common Factor of 38709 and 38719?

Greatest common factor (GCF) of 38709 and 38719 is 1.

GCF(38709,38719) = 1

We will now calculate the prime factors of 38709 and 38719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38709 and 38719.

How to find the GCF of 38709 and 38719?

We will first find the prime factorization of 38709 and 38719. After we will calculate the factors of 38709 and 38719 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 38719

Prime factors of 38719 are 31, 1249. Prime factorization of 38719 in exponential form is:

38719 = 31¹ × 1249¹

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 38719

List of positive integer factors of 38719 that divides 38709 without a remainder.

1, 31, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38709 and 38719. The biggest common factor number is the GCF number.
So the greatest common factor 38709 and 38719 is 1.

Also check out the Least Common Multiple of 38709 and 38719