What is the Greatest Common Factor of 9651 and 9660?

Greatest common factor (GCF) of 9651 and 9660 is 3.

GCF(9651,9660) = 3

We will now calculate the prime factors of 9651 and 9660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9651 and 9660.

How to find the GCF of 9651 and 9660?

We will first find the prime factorization of 9651 and 9660. After we will calculate the factors of 9651 and 9660 and find the biggest common factor number .

Step-1: Prime Factorization of 9651

Prime factors of 9651 are 3, 3217. Prime factorization of 9651 in exponential form is:

9651 = 3¹ × 3217¹

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 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1, 3, 3217

Step-4: Factors of 9660

List of positive integer factors of 9660 that divides 9651 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 9651 and 9660. The biggest common factor number is the GCF number.
So the greatest common factor 9651 and 9660 is 3.

Also check out the Least Common Multiple of 9651 and 9660