What is the Greatest Common Factor of 39645 and 39660?

Greatest common factor (GCF) of 39645 and 39660 is 15.

GCF(39645,39660) = 15

We will now calculate the prime factors of 39645 and 39660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39645 and 39660.

How to find the GCF of 39645 and 39660?

We will first find the prime factorization of 39645 and 39660. After we will calculate the factors of 39645 and 39660 and find the biggest common factor number .

Step-1: Prime Factorization of 39645

Prime factors of 39645 are 3, 5, 881. Prime factorization of 39645 in exponential form is:

39645 = 3² × 5¹ × 881¹

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 39645

List of positive integer factors of 39645 that divides 39645 without a remainder.

1, 3, 5, 9, 15, 45, 881, 2643, 4405, 7929, 13215

Step-4: Factors of 39660

List of positive integer factors of 39660 that divides 39645 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 39645 and 39660. The biggest common factor number is the GCF number.
So the greatest common factor 39645 and 39660 is 15.

Also check out the Least Common Multiple of 39645 and 39660