What is the Greatest Common Factor of 39990 and 40000?

Greatest common factor (GCF) of 39990 and 40000 is 10.

GCF(39990,40000) = 10

We will now calculate the prime factors of 39990 and 40000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39990 and 40000.

How to find the GCF of 39990 and 40000?

We will first find the prime factorization of 39990 and 40000. After we will calculate the factors of 39990 and 40000 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 40000

Prime factors of 40000 are 2, 5. Prime factorization of 40000 in exponential form is:

40000 = 2⁶ × 5⁴

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 40000

List of positive integer factors of 40000 that divides 39990 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39990 and 40000. The biggest common factor number is the GCF number.
So the greatest common factor 39990 and 40000 is 10.

Also check out the Least Common Multiple of 39990 and 40000