What is the Greatest Common Factor of 9768 and 9774?

Greatest common factor (GCF) of 9768 and 9774 is 6.

GCF(9768,9774) = 6

We will now calculate the prime factors of 9768 and 9774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9768 and 9774.

How to find the GCF of 9768 and 9774?

We will first find the prime factorization of 9768 and 9774. After we will calculate the factors of 9768 and 9774 and find the biggest common factor number .

Step-1: Prime Factorization of 9768

Prime factors of 9768 are 2, 3, 11, 37. Prime factorization of 9768 in exponential form is:

9768 = 2³ × 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 9774

Prime factors of 9774 are 2, 3, 181. Prime factorization of 9774 in exponential form is:

9774 = 2¹ × 3³ × 181¹

Step-3: Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884

Step-4: Factors of 9774

List of positive integer factors of 9774 that divides 9768 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9768 and 9774. The biggest common factor number is the GCF number.
So the greatest common factor 9768 and 9774 is 6.

Also check out the Least Common Multiple of 9768 and 9774