What is the Greatest Common Factor of 40400 and 40410?

Greatest common factor (GCF) of 40400 and 40410 is 10.

GCF(40400,40410) = 10

We will now calculate the prime factors of 40400 and 40410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40400 and 40410.

How to find the GCF of 40400 and 40410?

We will first find the prime factorization of 40400 and 40410. After we will calculate the factors of 40400 and 40410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40410

Prime factors of 40410 are 2, 3, 5, 449. Prime factorization of 40410 in exponential form is:

40410 = 2¹ × 3² × 5¹ × 449¹

Step-3: Factors of 40400

List of positive integer factors of 40400 that divides 40400 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

Step-4: Factors of 40410

List of positive integer factors of 40410 that divides 40400 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 449, 898, 1347, 2245, 2694, 4041, 4490, 6735, 8082, 13470, 20205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40400 and 40410. The biggest common factor number is the GCF number.
So the greatest common factor 40400 and 40410 is 10.

Also check out the Least Common Multiple of 40400 and 40410