What is the Greatest Common Factor of 40352 and 40365?

Greatest common factor (GCF) of 40352 and 40365 is 13.

GCF(40352,40365) = 13

We will now calculate the prime factors of 40352 and 40365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40352 and 40365.

How to find the GCF of 40352 and 40365?

We will first find the prime factorization of 40352 and 40365. After we will calculate the factors of 40352 and 40365 and find the biggest common factor number .

Step-1: Prime Factorization of 40352

Prime factors of 40352 are 2, 13, 97. Prime factorization of 40352 in exponential form is:

40352 = 2⁵ × 13¹ × 97¹

Step-2: Prime Factorization of 40365

Prime factors of 40365 are 3, 5, 13, 23. Prime factorization of 40365 in exponential form is:

40365 = 3³ × 5¹ × 13¹ × 23¹

Step-3: Factors of 40352

List of positive integer factors of 40352 that divides 40352 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 97, 104, 194, 208, 388, 416, 776, 1261, 1552, 2522, 3104, 5044, 10088, 20176

Step-4: Factors of 40365

List of positive integer factors of 40365 that divides 40352 without a remainder.

1, 3, 5, 9, 13, 15, 23, 27, 39, 45, 65, 69, 115, 117, 135, 195, 207, 299, 345, 351, 585, 621, 897, 1035, 1495, 1755, 2691, 3105, 4485, 8073, 13455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40352 and 40365. The biggest common factor number is the GCF number.
So the greatest common factor 40352 and 40365 is 13.

Also check out the Least Common Multiple of 40352 and 40365