What is the Greatest Common Factor of 97714 and 97731?

Greatest common factor (GCF) of 97714 and 97731 is 1.

GCF(97714,97731) = 1

We will now calculate the prime factors of 97714 and 97731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97714 and 97731.

How to find the GCF of 97714 and 97731?

We will first find the prime factorization of 97714 and 97731. After we will calculate the factors of 97714 and 97731 and find the biggest common factor number .

Step-1: Prime Factorization of 97714

Prime factors of 97714 are 2, 48857. Prime factorization of 97714 in exponential form is:

97714 = 2¹ × 48857¹

Step-2: Prime Factorization of 97731

Prime factors of 97731 are 3, 10859. Prime factorization of 97731 in exponential form is:

97731 = 3² × 10859¹

Step-3: Factors of 97714

List of positive integer factors of 97714 that divides 97714 without a remainder.

1, 2, 48857

Step-4: Factors of 97731

List of positive integer factors of 97731 that divides 97714 without a remainder.

1, 3, 9, 10859, 32577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97714 and 97731. The biggest common factor number is the GCF number.
So the greatest common factor 97714 and 97731 is 1.

Also check out the Least Common Multiple of 97714 and 97731