What is the Greatest Common Factor of 40404 and 40413?

Greatest common factor (GCF) of 40404 and 40413 is 3.

GCF(40404,40413) = 3

We will now calculate the prime factors of 40404 and 40413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40404 and 40413.

How to find the GCF of 40404 and 40413?

We will first find the prime factorization of 40404 and 40413. After we will calculate the factors of 40404 and 40413 and find the biggest common factor number .

Step-1: Prime Factorization of 40404

Prime factors of 40404 are 2, 3, 7, 13, 37. Prime factorization of 40404 in exponential form is:

40404 = 2² × 3¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 40413

Prime factors of 40413 are 3, 19, 709. Prime factorization of 40413 in exponential form is:

40413 = 3¹ × 19¹ × 709¹

Step-3: Factors of 40404

List of positive integer factors of 40404 that divides 40404 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52, 74, 78, 84, 91, 111, 148, 156, 182, 222, 259, 273, 364, 444, 481, 518, 546, 777, 962, 1036, 1092, 1443, 1554, 1924, 2886, 3108, 3367, 5772, 6734, 10101, 13468, 20202

Step-4: Factors of 40413

List of positive integer factors of 40413 that divides 40404 without a remainder.

1, 3, 19, 57, 709, 2127, 13471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40404 and 40413. The biggest common factor number is the GCF number.
So the greatest common factor 40404 and 40413 is 3.

Also check out the Least Common Multiple of 40404 and 40413