What is the Greatest Common Factor of 40380 and 40385?

Greatest common factor (GCF) of 40380 and 40385 is 5.

GCF(40380,40385) = 5

We will now calculate the prime factors of 40380 and 40385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40380 and 40385.

How to find the GCF of 40380 and 40385?

We will first find the prime factorization of 40380 and 40385. After we will calculate the factors of 40380 and 40385 and find the biggest common factor number .

Step-1: Prime Factorization of 40380

Prime factors of 40380 are 2, 3, 5, 673. Prime factorization of 40380 in exponential form is:

40380 = 2² × 3¹ × 5¹ × 673¹

Step-2: Prime Factorization of 40385

Prime factors of 40385 are 5, 41, 197. Prime factorization of 40385 in exponential form is:

40385 = 5¹ × 41¹ × 197¹

Step-3: Factors of 40380

List of positive integer factors of 40380 that divides 40380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 673, 1346, 2019, 2692, 3365, 4038, 6730, 8076, 10095, 13460, 20190

Step-4: Factors of 40385

List of positive integer factors of 40385 that divides 40380 without a remainder.

1, 5, 41, 197, 205, 985, 8077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40380 and 40385. The biggest common factor number is the GCF number.
So the greatest common factor 40380 and 40385 is 5.

Also check out the Least Common Multiple of 40380 and 40385