What is the Greatest Common Factor of 17724 and 17743?

Greatest common factor (GCF) of 17724 and 17743 is 1.

GCF(17724,17743) = 1

We will now calculate the prime factors of 17724 and 17743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17724 and 17743.

How to find the GCF of 17724 and 17743?

We will first find the prime factorization of 17724 and 17743. After we will calculate the factors of 17724 and 17743 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17743

Prime factors of 17743 are 11, 1613. Prime factorization of 17743 in exponential form is:

17743 = 11¹ × 1613¹

Step-3: Factors of 17724

List of positive integer factors of 17724 that divides 17724 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

Step-4: Factors of 17743

List of positive integer factors of 17743 that divides 17724 without a remainder.

1, 11, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17724 and 17743. The biggest common factor number is the GCF number.
So the greatest common factor 17724 and 17743 is 1.

Also check out the Least Common Multiple of 17724 and 17743