What is the Greatest Common Factor of 40082 and 40097?

Greatest common factor (GCF) of 40082 and 40097 is 1.

GCF(40082,40097) = 1

We will now calculate the prime factors of 40082 and 40097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40082 and 40097.

How to find the GCF of 40082 and 40097?

We will first find the prime factorization of 40082 and 40097. After we will calculate the factors of 40082 and 40097 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 40097

Prime factors of 40097 are 101, 397. Prime factorization of 40097 in exponential form is:

40097 = 101¹ × 397¹

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 40097

List of positive integer factors of 40097 that divides 40082 without a remainder.

1, 101, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40082 and 40097. The biggest common factor number is the GCF number.
So the greatest common factor 40082 and 40097 is 1.

Also check out the Least Common Multiple of 40082 and 40097