What is the Greatest Common Factor of 97665 and 97682?

Greatest common factor (GCF) of 97665 and 97682 is 17.

GCF(97665,97682) = 17

We will now calculate the prime factors of 97665 and 97682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97665 and 97682.

How to find the GCF of 97665 and 97682?

We will first find the prime factorization of 97665 and 97682. After we will calculate the factors of 97665 and 97682 and find the biggest common factor number .

Step-1: Prime Factorization of 97665

Prime factors of 97665 are 3, 5, 17, 383. Prime factorization of 97665 in exponential form is:

97665 = 3¹ × 5¹ × 17¹ × 383¹

Step-2: Prime Factorization of 97682

Prime factors of 97682 are 2, 13, 17. Prime factorization of 97682 in exponential form is:

97682 = 2¹ × 13² × 17²

Step-3: Factors of 97665

List of positive integer factors of 97665 that divides 97665 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 383, 1149, 1915, 5745, 6511, 19533, 32555

Step-4: Factors of 97682

List of positive integer factors of 97682 that divides 97665 without a remainder.

1, 2, 13, 17, 26, 34, 169, 221, 289, 338, 442, 578, 2873, 3757, 5746, 7514, 48841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97665 and 97682. The biggest common factor number is the GCF number.
So the greatest common factor 97665 and 97682 is 17.

Also check out the Least Common Multiple of 97665 and 97682