What is the Greatest Common Factor of 97309 and 97319?

Greatest common factor (GCF) of 97309 and 97319 is 1.

GCF(97309,97319) = 1

We will now calculate the prime factors of 97309 and 97319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97309 and 97319.

How to find the GCF of 97309 and 97319?

We will first find the prime factorization of 97309 and 97319. After we will calculate the factors of 97309 and 97319 and find the biggest common factor number .

Step-1: Prime Factorization of 97309

Prime factors of 97309 are 31, 43, 73. Prime factorization of 97309 in exponential form is:

97309 = 31¹ × 43¹ × 73¹

Step-2: Prime Factorization of 97319

Prime factors of 97319 are 307, 317. Prime factorization of 97319 in exponential form is:

97319 = 307¹ × 317¹

Step-3: Factors of 97309

List of positive integer factors of 97309 that divides 97309 without a remainder.

1, 31, 43, 73, 1333, 2263, 3139

Step-4: Factors of 97319

List of positive integer factors of 97319 that divides 97309 without a remainder.

1, 307, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97309 and 97319. The biggest common factor number is the GCF number.
So the greatest common factor 97309 and 97319 is 1.

Also check out the Least Common Multiple of 97309 and 97319