What is the Greatest Common Factor of 40404 and 40417?

Greatest common factor (GCF) of 40404 and 40417 is 13.

GCF(40404,40417) = 13

We will now calculate the prime factors of 40404 and 40417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40404 and 40417.

How to find the GCF of 40404 and 40417?

We will first find the prime factorization of 40404 and 40417. After we will calculate the factors of 40404 and 40417 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 40417

Prime factors of 40417 are 13, 3109. Prime factorization of 40417 in exponential form is:

40417 = 13¹ × 3109¹

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 40417

List of positive integer factors of 40417 that divides 40404 without a remainder.

1, 13, 3109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40404 and 40417. The biggest common factor number is the GCF number.
So the greatest common factor 40404 and 40417 is 13.

Also check out the Least Common Multiple of 40404 and 40417