What is the Greatest Common Factor of 97328 and 97342?

Greatest common factor (GCF) of 97328 and 97342 is 14.

GCF(97328,97342) = 14

We will now calculate the prime factors of 97328 and 97342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97328 and 97342.

How to find the GCF of 97328 and 97342?

We will first find the prime factorization of 97328 and 97342. After we will calculate the factors of 97328 and 97342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97342

Prime factors of 97342 are 2, 7, 17, 409. Prime factorization of 97342 in exponential form is:

97342 = 2¹ × 7¹ × 17¹ × 409¹

Step-3: Factors of 97328

List of positive integer factors of 97328 that divides 97328 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

Step-4: Factors of 97342

List of positive integer factors of 97342 that divides 97328 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 409, 818, 2863, 5726, 6953, 13906, 48671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97328 and 97342. The biggest common factor number is the GCF number.
So the greatest common factor 97328 and 97342 is 14.

Also check out the Least Common Multiple of 97328 and 97342