What is the Greatest Common Factor of 97314 and 97322?

Greatest common factor (GCF) of 97314 and 97322 is 2.

GCF(97314,97322) = 2

We will now calculate the prime factors of 97314 and 97322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97314 and 97322.

How to find the GCF of 97314 and 97322?

We will first find the prime factorization of 97314 and 97322. After we will calculate the factors of 97314 and 97322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97322

Prime factors of 97322 are 2, 48661. Prime factorization of 97322 in exponential form is:

97322 = 2¹ × 48661¹

Step-3: Factors of 97314

List of positive integer factors of 97314 that divides 97314 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

Step-4: Factors of 97322

List of positive integer factors of 97322 that divides 97314 without a remainder.

1, 2, 48661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97314 and 97322. The biggest common factor number is the GCF number.
So the greatest common factor 97314 and 97322 is 2.

Also check out the Least Common Multiple of 97314 and 97322