What is the Greatest Common Factor of 40395 and 40415?

Greatest common factor (GCF) of 40395 and 40415 is 5.

GCF(40395,40415) = 5

We will now calculate the prime factors of 40395 and 40415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40395 and 40415.

How to find the GCF of 40395 and 40415?

We will first find the prime factorization of 40395 and 40415. After we will calculate the factors of 40395 and 40415 and find the biggest common factor number .

Step-1: Prime Factorization of 40395

Prime factors of 40395 are 3, 5, 2693. Prime factorization of 40395 in exponential form is:

40395 = 3¹ × 5¹ × 2693¹

Step-2: Prime Factorization of 40415

Prime factors of 40415 are 5, 59, 137. Prime factorization of 40415 in exponential form is:

40415 = 5¹ × 59¹ × 137¹

Step-3: Factors of 40395

List of positive integer factors of 40395 that divides 40395 without a remainder.

1, 3, 5, 15, 2693, 8079, 13465

Step-4: Factors of 40415

List of positive integer factors of 40415 that divides 40395 without a remainder.

1, 5, 59, 137, 295, 685, 8083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40395 and 40415. The biggest common factor number is the GCF number.
So the greatest common factor 40395 and 40415 is 5.

Also check out the Least Common Multiple of 40395 and 40415