What is the Greatest Common Factor of 9648 and 9657?

Greatest common factor (GCF) of 9648 and 9657 is 9.

GCF(9648,9657) = 9

We will now calculate the prime factors of 9648 and 9657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9648 and 9657.

How to find the GCF of 9648 and 9657?

We will first find the prime factorization of 9648 and 9657. After we will calculate the factors of 9648 and 9657 and find the biggest common factor number .

Step-1: Prime Factorization of 9648

Prime factors of 9648 are 2, 3, 67. Prime factorization of 9648 in exponential form is:

9648 = 2⁴ × 3² × 67¹

Step-2: Prime Factorization of 9657

Prime factors of 9657 are 3, 29, 37. Prime factorization of 9657 in exponential form is:

9657 = 3² × 29¹ × 37¹

Step-3: Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824

Step-4: Factors of 9657

List of positive integer factors of 9657 that divides 9648 without a remainder.

1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9648 and 9657. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9657 is 9.

Also check out the Least Common Multiple of 9648 and 9657