What is the Greatest Common Factor of 97723 and 97743?

Greatest common factor (GCF) of 97723 and 97743 is 1.

GCF(97723,97743) = 1

We will now calculate the prime factors of 97723 and 97743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97723 and 97743.

How to find the GCF of 97723 and 97743?

We will first find the prime factorization of 97723 and 97743. After we will calculate the factors of 97723 and 97743 and find the biggest common factor number .

Step-1: Prime Factorization of 97723

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

97723 = 79¹ × 1237¹

Step-2: Prime Factorization of 97743

Prime factors of 97743 are 3, 31, 1051. Prime factorization of 97743 in exponential form is:

97743 = 3¹ × 31¹ × 1051¹

Step-3: Factors of 97723

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

1, 79, 1237

Step-4: Factors of 97743

List of positive integer factors of 97743 that divides 97723 without a remainder.

1, 3, 31, 93, 1051, 3153, 32581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97723 and 97743. The biggest common factor number is the GCF number.
So the greatest common factor 97723 and 97743 is 1.

Also check out the Least Common Multiple of 97723 and 97743