What is the Greatest Common Factor of 39660 and 39670?

Greatest common factor (GCF) of 39660 and 39670 is 10.

GCF(39660,39670) = 10

We will now calculate the prime factors of 39660 and 39670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39660 and 39670.

How to find the GCF of 39660 and 39670?

We will first find the prime factorization of 39660 and 39670. After we will calculate the factors of 39660 and 39670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39670

Prime factors of 39670 are 2, 5, 3967. Prime factorization of 39670 in exponential form is:

39670 = 2¹ × 5¹ × 3967¹

Step-3: Factors of 39660

List of positive integer factors of 39660 that divides 39660 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

Step-4: Factors of 39670

List of positive integer factors of 39670 that divides 39660 without a remainder.

1, 2, 5, 10, 3967, 7934, 19835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39660 and 39670. The biggest common factor number is the GCF number.
So the greatest common factor 39660 and 39670 is 10.

Also check out the Least Common Multiple of 39660 and 39670