What is the Greatest Common Factor of 40401 and 40410?

Greatest common factor (GCF) of 40401 and 40410 is 9.

GCF(40401,40410) = 9

We will now calculate the prime factors of 40401 and 40410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40401 and 40410.

How to find the GCF of 40401 and 40410?

We will first find the prime factorization of 40401 and 40410. After we will calculate the factors of 40401 and 40410 and find the biggest common factor number .

Step-1: Prime Factorization of 40401

Prime factors of 40401 are 3, 67. Prime factorization of 40401 in exponential form is:

40401 = 3² × 67²

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 40401

List of positive integer factors of 40401 that divides 40401 without a remainder.

1, 3, 9, 67, 201, 603, 4489, 13467

Step-4: Factors of 40410

List of positive integer factors of 40410 that divides 40401 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 40401 and 40410. The biggest common factor number is the GCF number.
So the greatest common factor 40401 and 40410 is 9.

Also check out the Least Common Multiple of 40401 and 40410