What is the Greatest Common Factor of 39990 and 40010?

Greatest common factor (GCF) of 39990 and 40010 is 10.

GCF(39990,40010) = 10

We will now calculate the prime factors of 39990 and 40010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39990 and 40010.

How to find the GCF of 39990 and 40010?

We will first find the prime factorization of 39990 and 40010. After we will calculate the factors of 39990 and 40010 and find the biggest common factor number .

Step-1: Prime Factorization of 39990

Prime factors of 39990 are 2, 3, 5, 31, 43. Prime factorization of 39990 in exponential form is:

39990 = 2¹ × 3¹ × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 40010

Prime factors of 40010 are 2, 5, 4001. Prime factorization of 40010 in exponential form is:

40010 = 2¹ × 5¹ × 4001¹

Step-3: Factors of 39990

List of positive integer factors of 39990 that divides 39990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 43, 62, 86, 93, 129, 155, 186, 215, 258, 310, 430, 465, 645, 930, 1290, 1333, 2666, 3999, 6665, 7998, 13330, 19995

Step-4: Factors of 40010

List of positive integer factors of 40010 that divides 39990 without a remainder.

1, 2, 5, 10, 4001, 8002, 20005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39990 and 40010. The biggest common factor number is the GCF number.
So the greatest common factor 39990 and 40010 is 10.

Also check out the Least Common Multiple of 39990 and 40010