What is the Greatest Common Factor of 40082 and 40095?

Greatest common factor (GCF) of 40082 and 40095 is 1.

GCF(40082,40095) = 1

We will now calculate the prime factors of 40082 and 40095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40082 and 40095.

How to find the GCF of 40082 and 40095?

We will first find the prime factorization of 40082 and 40095. After we will calculate the factors of 40082 and 40095 and find the biggest common factor number .

Step-1: Prime Factorization of 40082

Prime factors of 40082 are 2, 7, 409. Prime factorization of 40082 in exponential form is:

40082 = 2¹ × 7² × 409¹

Step-2: Prime Factorization of 40095

Prime factors of 40095 are 3, 5, 11. Prime factorization of 40095 in exponential form is:

40095 = 3⁶ × 5¹ × 11¹

Step-3: Factors of 40082

List of positive integer factors of 40082 that divides 40082 without a remainder.

1, 2, 7, 14, 49, 98, 409, 818, 2863, 5726, 20041

Step-4: Factors of 40095

List of positive integer factors of 40095 that divides 40082 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 729, 891, 1215, 1485, 2673, 3645, 4455, 8019, 13365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40082 and 40095. The biggest common factor number is the GCF number.
So the greatest common factor 40082 and 40095 is 1.

Also check out the Least Common Multiple of 40082 and 40095