What is the Greatest Common Factor of 97723 and 97727?

Greatest common factor (GCF) of 97723 and 97727 is 1.

GCF(97723,97727) = 1

We will now calculate the prime factors of 97723 and 97727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97723 and 97727.

How to find the GCF of 97723 and 97727?

We will first find the prime factorization of 97723 and 97727. After we will calculate the factors of 97723 and 97727 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 97727

Prime factors of 97727 are 7, 23, 607. Prime factorization of 97727 in exponential form is:

97727 = 7¹ × 23¹ × 607¹

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 97727

List of positive integer factors of 97727 that divides 97723 without a remainder.

1, 7, 23, 161, 607, 4249, 13961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97723 and 97727. The biggest common factor number is the GCF number.
So the greatest common factor 97723 and 97727 is 1.

Also check out the Least Common Multiple of 97723 and 97727