What is the Greatest Common Factor of 97743 and 97761?

Greatest common factor (GCF) of 97743 and 97761 is 3.

GCF(97743,97761) = 3

We will now calculate the prime factors of 97743 and 97761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97743 and 97761.

How to find the GCF of 97743 and 97761?

We will first find the prime factorization of 97743 and 97761. After we will calculate the factors of 97743 and 97761 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97761

Prime factors of 97761 are 3, 32587. Prime factorization of 97761 in exponential form is:

97761 = 3¹ × 32587¹

Step-3: Factors of 97743

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

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

Step-4: Factors of 97761

List of positive integer factors of 97761 that divides 97743 without a remainder.

1, 3, 32587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97743 and 97761. The biggest common factor number is the GCF number.
So the greatest common factor 97743 and 97761 is 3.

Also check out the Least Common Multiple of 97743 and 97761