What is the Greatest Common Factor of 97338 and 97342?

Greatest common factor (GCF) of 97338 and 97342 is 2.

GCF(97338,97342) = 2

We will now calculate the prime factors of 97338 and 97342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97338 and 97342.

How to find the GCF of 97338 and 97342?

We will first find the prime factorization of 97338 and 97342. After we will calculate the factors of 97338 and 97342 and find the biggest common factor number .

Step-1: Prime Factorization of 97338

Prime factors of 97338 are 2, 3, 16223. Prime factorization of 97338 in exponential form is:

97338 = 2¹ × 3¹ × 16223¹

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 97338

List of positive integer factors of 97338 that divides 97338 without a remainder.

1, 2, 3, 6, 16223, 32446, 48669

Step-4: Factors of 97342

List of positive integer factors of 97342 that divides 97338 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 97338 and 97342. The biggest common factor number is the GCF number.
So the greatest common factor 97338 and 97342 is 2.

Also check out the Least Common Multiple of 97338 and 97342