What is the Greatest Common Factor of 9772 and 9786?

Greatest common factor (GCF) of 9772 and 9786 is 14.

GCF(9772,9786) = 14

We will now calculate the prime factors of 9772 and 9786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9772 and 9786.

How to find the GCF of 9772 and 9786?

We will first find the prime factorization of 9772 and 9786. After we will calculate the factors of 9772 and 9786 and find the biggest common factor number .

Step-1: Prime Factorization of 9772

Prime factors of 9772 are 2, 7, 349. Prime factorization of 9772 in exponential form is:

9772 = 2² × 7¹ × 349¹

Step-2: Prime Factorization of 9786

Prime factors of 9786 are 2, 3, 7, 233. Prime factorization of 9786 in exponential form is:

9786 = 2¹ × 3¹ × 7¹ × 233¹

Step-3: Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886

Step-4: Factors of 9786

List of positive integer factors of 9786 that divides 9772 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9772 and 9786. The biggest common factor number is the GCF number.
So the greatest common factor 9772 and 9786 is 14.

Also check out the Least Common Multiple of 9772 and 9786