What is the Greatest Common Factor of 17711 and 17724?

Greatest common factor (GCF) of 17711 and 17724 is 1.

GCF(17711,17724) = 1

We will now calculate the prime factors of 17711 and 17724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17711 and 17724.

How to find the GCF of 17711 and 17724?

We will first find the prime factorization of 17711 and 17724. After we will calculate the factors of 17711 and 17724 and find the biggest common factor number .

Step-1: Prime Factorization of 17711

Prime factors of 17711 are 89, 199. Prime factorization of 17711 in exponential form is:

17711 = 89¹ × 199¹

Step-2: Prime Factorization of 17724

Prime factors of 17724 are 2, 3, 7, 211. Prime factorization of 17724 in exponential form is:

17724 = 2² × 3¹ × 7¹ × 211¹

Step-3: Factors of 17711

List of positive integer factors of 17711 that divides 17711 without a remainder.

1, 89, 199

Step-4: Factors of 17724

List of positive integer factors of 17724 that divides 17711 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 211, 422, 633, 844, 1266, 1477, 2532, 2954, 4431, 5908, 8862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17711 and 17724. The biggest common factor number is the GCF number.
So the greatest common factor 17711 and 17724 is 1.

Also check out the Least Common Multiple of 17711 and 17724