What is the Greatest Common Factor of 47709 and 47718?

Greatest common factor (GCF) of 47709 and 47718 is 9.

GCF(47709,47718) = 9

We will now calculate the prime factors of 47709 and 47718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47709 and 47718.

How to find the GCF of 47709 and 47718?

We will first find the prime factorization of 47709 and 47718. After we will calculate the factors of 47709 and 47718 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 47718

Prime factors of 47718 are 2, 3, 11, 241. Prime factorization of 47718 in exponential form is:

47718 = 2¹ × 3² × 11¹ × 241¹

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 47718

List of positive integer factors of 47718 that divides 47709 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 241, 482, 723, 1446, 2169, 2651, 4338, 5302, 7953, 15906, 23859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47709 and 47718. The biggest common factor number is the GCF number.
So the greatest common factor 47709 and 47718 is 9.

Also check out the Least Common Multiple of 47709 and 47718