What is the Greatest Common Factor of 9724 and 9741?

Greatest common factor (GCF) of 9724 and 9741 is 17.

GCF(9724,9741) = 17

We will now calculate the prime factors of 9724 and 9741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9724 and 9741.

How to find the GCF of 9724 and 9741?

We will first find the prime factorization of 9724 and 9741. After we will calculate the factors of 9724 and 9741 and find the biggest common factor number .

Step-1: Prime Factorization of 9724

Prime factors of 9724 are 2, 11, 13, 17. Prime factorization of 9724 in exponential form is:

9724 = 2² × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 9741

Prime factors of 9741 are 3, 17, 191. Prime factorization of 9741 in exponential form is:

9741 = 3¹ × 17¹ × 191¹

Step-3: Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862

Step-4: Factors of 9741

List of positive integer factors of 9741 that divides 9724 without a remainder.

1, 3, 17, 51, 191, 573, 3247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9724 and 9741. The biggest common factor number is the GCF number.
So the greatest common factor 9724 and 9741 is 17.

Also check out the Least Common Multiple of 9724 and 9741