What is the Greatest Common Factor of 97689 and 97705?

Greatest common factor (GCF) of 97689 and 97705 is 1.

GCF(97689,97705) = 1

We will now calculate the prime factors of 97689 and 97705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97689 and 97705.

How to find the GCF of 97689 and 97705?

We will first find the prime factorization of 97689 and 97705. After we will calculate the factors of 97689 and 97705 and find the biggest common factor number .

Step-1: Prime Factorization of 97689

Prime factors of 97689 are 3, 32563. Prime factorization of 97689 in exponential form is:

97689 = 3¹ × 32563¹

Step-2: Prime Factorization of 97705

Prime factors of 97705 are 5, 19541. Prime factorization of 97705 in exponential form is:

97705 = 5¹ × 19541¹

Step-3: Factors of 97689

List of positive integer factors of 97689 that divides 97689 without a remainder.

1, 3, 32563

Step-4: Factors of 97705

List of positive integer factors of 97705 that divides 97689 without a remainder.

1, 5, 19541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97689 and 97705. The biggest common factor number is the GCF number.
So the greatest common factor 97689 and 97705 is 1.

Also check out the Least Common Multiple of 97689 and 97705