What is the Greatest Common Factor of 40390 and 40400?

Greatest common factor (GCF) of 40390 and 40400 is 10.

GCF(40390,40400) = 10

We will now calculate the prime factors of 40390 and 40400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40390 and 40400.

How to find the GCF of 40390 and 40400?

We will first find the prime factorization of 40390 and 40400. After we will calculate the factors of 40390 and 40400 and find the biggest common factor number .

Step-1: Prime Factorization of 40390

Prime factors of 40390 are 2, 5, 7, 577. Prime factorization of 40390 in exponential form is:

40390 = 2¹ × 5¹ × 7¹ × 577¹

Step-2: Prime Factorization of 40400

Prime factors of 40400 are 2, 5, 101. Prime factorization of 40400 in exponential form is:

40400 = 2⁴ × 5² × 101¹

Step-3: Factors of 40390

List of positive integer factors of 40390 that divides 40390 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 577, 1154, 2885, 4039, 5770, 8078, 20195

Step-4: Factors of 40400

List of positive integer factors of 40400 that divides 40390 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 101, 200, 202, 400, 404, 505, 808, 1010, 1616, 2020, 2525, 4040, 5050, 8080, 10100, 20200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40390 and 40400. The biggest common factor number is the GCF number.
So the greatest common factor 40390 and 40400 is 10.

Also check out the Least Common Multiple of 40390 and 40400