What is the Greatest Common Factor of 97682 and 97693?

Greatest common factor (GCF) of 97682 and 97693 is 1.

GCF(97682,97693) = 1

We will now calculate the prime factors of 97682 and 97693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97682 and 97693.

How to find the GCF of 97682 and 97693?

We will first find the prime factorization of 97682 and 97693. After we will calculate the factors of 97682 and 97693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97693

Prime factors of 97693 are 211, 463. Prime factorization of 97693 in exponential form is:

97693 = 211¹ × 463¹

Step-3: Factors of 97682

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

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

Step-4: Factors of 97693

List of positive integer factors of 97693 that divides 97682 without a remainder.

1, 211, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97682 and 97693. The biggest common factor number is the GCF number.
So the greatest common factor 97682 and 97693 is 1.

Also check out the Least Common Multiple of 97682 and 97693