What is the Greatest Common Factor of 97293 and 97307?

Greatest common factor (GCF) of 97293 and 97307 is 7.

GCF(97293,97307) = 7

We will now calculate the prime factors of 97293 and 97307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97293 and 97307.

How to find the GCF of 97293 and 97307?

We will first find the prime factorization of 97293 and 97307. After we will calculate the factors of 97293 and 97307 and find the biggest common factor number .

Step-1: Prime Factorization of 97293

Prime factors of 97293 are 3, 7, 41, 113. Prime factorization of 97293 in exponential form is:

97293 = 3¹ × 7¹ × 41¹ × 113¹

Step-2: Prime Factorization of 97307

Prime factors of 97307 are 7, 13901. Prime factorization of 97307 in exponential form is:

97307 = 7¹ × 13901¹

Step-3: Factors of 97293

List of positive integer factors of 97293 that divides 97293 without a remainder.

1, 3, 7, 21, 41, 113, 123, 287, 339, 791, 861, 2373, 4633, 13899, 32431

Step-4: Factors of 97307

List of positive integer factors of 97307 that divides 97293 without a remainder.

1, 7, 13901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97293 and 97307. The biggest common factor number is the GCF number.
So the greatest common factor 97293 and 97307 is 7.

Also check out the Least Common Multiple of 97293 and 97307