What is the Greatest Common Factor of 97302 and 97314?

Greatest common factor (GCF) of 97302 and 97314 is 6.

GCF(97302,97314) = 6

We will now calculate the prime factors of 97302 and 97314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97302 and 97314.

How to find the GCF of 97302 and 97314?

We will first find the prime factorization of 97302 and 97314. After we will calculate the factors of 97302 and 97314 and find the biggest common factor number .

Step-1: Prime Factorization of 97302

Prime factors of 97302 are 2, 3, 16217. Prime factorization of 97302 in exponential form is:

97302 = 2¹ × 3¹ × 16217¹

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 97302

List of positive integer factors of 97302 that divides 97302 without a remainder.

1, 2, 3, 6, 16217, 32434, 48651

Step-4: Factors of 97314

List of positive integer factors of 97314 that divides 97302 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 97302 and 97314. The biggest common factor number is the GCF number.
So the greatest common factor 97302 and 97314 is 6.

Also check out the Least Common Multiple of 97302 and 97314