What is the Greatest Common Factor of 40000 and 40010?

Greatest common factor (GCF) of 40000 and 40010 is 10.

GCF(40000,40010) = 10

We will now calculate the prime factors of 40000 and 40010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40000 and 40010.

How to find the GCF of 40000 and 40010?

We will first find the prime factorization of 40000 and 40010. After we will calculate the factors of 40000 and 40010 and find the biggest common factor number .

Step-1: Prime Factorization of 40000

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

40000 = 2⁶ × 5⁴

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 40000

List of positive integer factors of 40000 that divides 40000 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

Step-4: Factors of 40010

List of positive integer factors of 40010 that divides 40000 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40000 and 40010. The biggest common factor number is the GCF number.
So the greatest common factor 40000 and 40010 is 10.

Also check out the Least Common Multiple of 40000 and 40010