What is the Greatest Common Factor of 9756 and 9774?

Greatest common factor (GCF) of 9756 and 9774 is 18.

GCF(9756,9774) = 18

We will now calculate the prime factors of 9756 and 9774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9756 and 9774.

How to find the GCF of 9756 and 9774?

We will first find the prime factorization of 9756 and 9774. After we will calculate the factors of 9756 and 9774 and find the biggest common factor number .

Step-1: Prime Factorization of 9756

Prime factors of 9756 are 2, 3, 271. Prime factorization of 9756 in exponential form is:

9756 = 2² × 3² × 271¹

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 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878

Step-4: Factors of 9774

List of positive integer factors of 9774 that divides 9756 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 9756 and 9774. The biggest common factor number is the GCF number.
So the greatest common factor 9756 and 9774 is 18.

Also check out the Least Common Multiple of 9756 and 9774