What is the Greatest Common Factor of 97314 and 97328?

Greatest common factor (GCF) of 97314 and 97328 is 14.

GCF(97314,97328) = 14

We will now calculate the prime factors of 97314 and 97328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97314 and 97328.

How to find the GCF of 97314 and 97328?

We will first find the prime factorization of 97314 and 97328. After we will calculate the factors of 97314 and 97328 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 97328

Prime factors of 97328 are 2, 7, 11, 79. Prime factorization of 97328 in exponential form is:

97328 = 2⁴ × 7¹ × 11¹ × 79¹

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 97328

List of positive integer factors of 97328 that divides 97314 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 79, 88, 112, 154, 158, 176, 308, 316, 553, 616, 632, 869, 1106, 1232, 1264, 1738, 2212, 3476, 4424, 6083, 6952, 8848, 12166, 13904, 24332, 48664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97314 and 97328. The biggest common factor number is the GCF number.
So the greatest common factor 97314 and 97328 is 14.

Also check out the Least Common Multiple of 97314 and 97328