What is the Greatest Common Factor of 40365 and 40378?

Greatest common factor (GCF) of 40365 and 40378 is 13.

GCF(40365,40378) = 13

We will now calculate the prime factors of 40365 and 40378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40365 and 40378.

How to find the GCF of 40365 and 40378?

We will first find the prime factorization of 40365 and 40378. After we will calculate the factors of 40365 and 40378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40378

Prime factors of 40378 are 2, 13, 1553. Prime factorization of 40378 in exponential form is:

40378 = 2¹ × 13¹ × 1553¹

Step-3: Factors of 40365

List of positive integer factors of 40365 that divides 40365 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

Step-4: Factors of 40378

List of positive integer factors of 40378 that divides 40365 without a remainder.

1, 2, 13, 26, 1553, 3106, 20189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40365 and 40378. The biggest common factor number is the GCF number.
So the greatest common factor 40365 and 40378 is 13.

Also check out the Least Common Multiple of 40365 and 40378