What is the Greatest Common Factor of 9645 and 9660?

Greatest common factor (GCF) of 9645 and 9660 is 15.

GCF(9645,9660) = 15

We will now calculate the prime factors of 9645 and 9660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9645 and 9660.

How to find the GCF of 9645 and 9660?

We will first find the prime factorization of 9645 and 9660. After we will calculate the factors of 9645 and 9660 and find the biggest common factor number .

Step-1: Prime Factorization of 9645

Prime factors of 9645 are 3, 5, 643. Prime factorization of 9645 in exponential form is:

9645 = 3¹ × 5¹ × 643¹

Step-2: Prime Factorization of 9660

Prime factors of 9660 are 2, 3, 5, 7, 23. Prime factorization of 9660 in exponential form is:

9660 = 2² × 3¹ × 5¹ × 7¹ × 23¹

Step-3: Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1, 3, 5, 15, 643, 1929, 3215

Step-4: Factors of 9660

List of positive integer factors of 9660 that divides 9645 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9645 and 9660. The biggest common factor number is the GCF number.
So the greatest common factor 9645 and 9660 is 15.

Also check out the Least Common Multiple of 9645 and 9660