What is the Greatest Common Factor of 9633 and 9648?

Greatest common factor (GCF) of 9633 and 9648 is 3.

GCF(9633,9648) = 3

We will now calculate the prime factors of 9633 and 9648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9633 and 9648.

How to find the GCF of 9633 and 9648?

We will first find the prime factorization of 9633 and 9648. After we will calculate the factors of 9633 and 9648 and find the biggest common factor number .

Step-1: Prime Factorization of 9633

Prime factors of 9633 are 3, 13, 19. Prime factorization of 9633 in exponential form is:

9633 = 3¹ × 13² × 19¹

Step-2: 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-3: Factors of 9633

List of positive integer factors of 9633 that divides 9633 without a remainder.

1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211

Step-4: Factors of 9648

List of positive integer factors of 9648 that divides 9633 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9633 and 9648. The biggest common factor number is the GCF number.
So the greatest common factor 9633 and 9648 is 3.

Also check out the Least Common Multiple of 9633 and 9648