What is the Greatest Common Factor of 9660 and 9672?

Greatest common factor (GCF) of 9660 and 9672 is 12.

GCF(9660,9672) = 12

We will now calculate the prime factors of 9660 and 9672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9660 and 9672.

How to find the GCF of 9660 and 9672?

We will first find the prime factorization of 9660 and 9672. After we will calculate the factors of 9660 and 9672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9672

Prime factors of 9672 are 2, 3, 13, 31. Prime factorization of 9672 in exponential form is:

9672 = 2³ × 3¹ × 13¹ × 31¹

Step-3: Factors of 9660

List of positive integer factors of 9660 that divides 9660 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

Step-4: Factors of 9672

List of positive integer factors of 9672 that divides 9660 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9660 and 9672. The biggest common factor number is the GCF number.
So the greatest common factor 9660 and 9672 is 12.

Also check out the Least Common Multiple of 9660 and 9672