What is the Greatest Common Factor of 40365 and 40374?

Greatest common factor (GCF) of 40365 and 40374 is 9.

GCF(40365,40374) = 9

We will now calculate the prime factors of 40365 and 40374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40365 and 40374.

How to find the GCF of 40365 and 40374?

We will first find the prime factorization of 40365 and 40374. After we will calculate the factors of 40365 and 40374 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 40374

Prime factors of 40374 are 2, 3, 2243. Prime factorization of 40374 in exponential form is:

40374 = 2¹ × 3² × 2243¹

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 40374

List of positive integer factors of 40374 that divides 40365 without a remainder.

1, 2, 3, 6, 9, 18, 2243, 4486, 6729, 13458, 20187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40365 and 40374. The biggest common factor number is the GCF number.
So the greatest common factor 40365 and 40374 is 9.

Also check out the Least Common Multiple of 40365 and 40374