What is the Greatest Common Factor of 39648 and 39660?

Greatest common factor (GCF) of 39648 and 39660 is 12.

GCF(39648,39660) = 12

We will now calculate the prime factors of 39648 and 39660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39660.

How to find the GCF of 39648 and 39660?

We will first find the prime factorization of 39648 and 39660. After we will calculate the factors of 39648 and 39660 and find the biggest common factor number .

Step-1: Prime Factorization of 39648

Prime factors of 39648 are 2, 3, 7, 59. Prime factorization of 39648 in exponential form is:

39648 = 2⁵ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 39660

Prime factors of 39660 are 2, 3, 5, 661. Prime factorization of 39660 in exponential form is:

39660 = 2² × 3¹ × 5¹ × 661¹

Step-3: Factors of 39648

List of positive integer factors of 39648 that divides 39648 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 59, 84, 96, 112, 118, 168, 177, 224, 236, 336, 354, 413, 472, 672, 708, 826, 944, 1239, 1416, 1652, 1888, 2478, 2832, 3304, 4956, 5664, 6608, 9912, 13216, 19824

Step-4: Factors of 39660

List of positive integer factors of 39660 that divides 39648 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 661, 1322, 1983, 2644, 3305, 3966, 6610, 7932, 9915, 13220, 19830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39660. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39660 is 12.

Also check out the Least Common Multiple of 39648 and 39660