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What is the Greatest Common Factor of 9716 and 9724?

Greatest common factor (GCF) of 9716 and 9724 is 4.

GCF(9716,9724) = 4

We will now calculate the prime factors of 9716 and 9724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9716 and 9724.

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How to find the GCF of 9716 and 9724?

We will first find the prime factorization of 9716 and 9724. After we will calculate the factors of 9716 and 9724 and find the biggest common factor number .

Step-1: Prime Factorization of 9716

Prime factors of 9716 are 2, 7, 347. Prime factorization of 9716 in exponential form is:

9716 = 22 × 71 × 3471

Step-2: 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-3: Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858

Step-4: Factors of 9724

List of positive integer factors of 9724 that divides 9716 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9716 and 9724. The biggest common factor number is the GCF number.
So the greatest common factor 9716 and 9724 is 4.

Also check out the Least Common Multiple of 9716 and 9724