What is the Greatest Common Factor of 97706 and 97723?

Greatest common factor (GCF) of 97706 and 97723 is 1.

GCF(97706,97723) = 1

We will now calculate the prime factors of 97706 and 97723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97706 and 97723.

How to find the GCF of 97706 and 97723?

We will first find the prime factorization of 97706 and 97723. After we will calculate the factors of 97706 and 97723 and find the biggest common factor number .

Step-1: Prime Factorization of 97706

Prime factors of 97706 are 2, 7, 997. Prime factorization of 97706 in exponential form is:

97706 = 2¹ × 7² × 997¹

Step-2: Prime Factorization of 97723

Prime factors of 97723 are 79, 1237. Prime factorization of 97723 in exponential form is:

97723 = 79¹ × 1237¹

Step-3: Factors of 97706

List of positive integer factors of 97706 that divides 97706 without a remainder.

1, 2, 7, 14, 49, 98, 997, 1994, 6979, 13958, 48853

Step-4: Factors of 97723

List of positive integer factors of 97723 that divides 97706 without a remainder.

1, 79, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97706 and 97723. The biggest common factor number is the GCF number.
So the greatest common factor 97706 and 97723 is 1.

Also check out the Least Common Multiple of 97706 and 97723