What is the Greatest Common Factor of 97309 and 97314?

Greatest common factor (GCF) of 97309 and 97314 is 1.

GCF(97309,97314) = 1

We will now calculate the prime factors of 97309 and 97314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97309 and 97314.

How to find the GCF of 97309 and 97314?

We will first find the prime factorization of 97309 and 97314. After we will calculate the factors of 97309 and 97314 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 97314

Prime factors of 97314 are 2, 3, 7, 331. Prime factorization of 97314 in exponential form is:

97314 = 2¹ × 3¹ × 7² × 331¹

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 97314

List of positive integer factors of 97314 that divides 97309 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 331, 662, 993, 1986, 2317, 4634, 6951, 13902, 16219, 32438, 48657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97309 and 97314. The biggest common factor number is the GCF number.
So the greatest common factor 97309 and 97314 is 1.

Also check out the Least Common Multiple of 97309 and 97314