What is the Greatest Common Factor of 47709 and 47717?

Greatest common factor (GCF) of 47709 and 47717 is 1.

GCF(47709,47717) = 1

We will now calculate the prime factors of 47709 and 47717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47709 and 47717.

How to find the GCF of 47709 and 47717?

We will first find the prime factorization of 47709 and 47717. After we will calculate the factors of 47709 and 47717 and find the biggest common factor number .

Step-1: Prime Factorization of 47709

Prime factors of 47709 are 3, 19, 31. Prime factorization of 47709 in exponential form is:

47709 = 3⁴ × 19¹ × 31¹

Step-2: Prime Factorization of 47717

Prime factors of 47717 are 47717. Prime factorization of 47717 in exponential form is:

47717 = 47717¹

Step-3: Factors of 47709

List of positive integer factors of 47709 that divides 47709 without a remainder.

1, 3, 9, 19, 27, 31, 57, 81, 93, 171, 279, 513, 589, 837, 1539, 1767, 2511, 5301, 15903

Step-4: Factors of 47717

List of positive integer factors of 47717 that divides 47709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47709 and 47717. The biggest common factor number is the GCF number.
So the greatest common factor 47709 and 47717 is 1.

Also check out the Least Common Multiple of 47709 and 47717