What is the Greatest Common Factor of 97322 and 97342?

Greatest common factor (GCF) of 97322 and 97342 is 2.

GCF(97322,97342) = 2

We will now calculate the prime factors of 97322 and 97342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97322 and 97342.

How to find the GCF of 97322 and 97342?

We will first find the prime factorization of 97322 and 97342. After we will calculate the factors of 97322 and 97342 and find the biggest common factor number .

Step-1: Prime Factorization of 97322

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

97322 = 2¹ × 48661¹

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 97322

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

1, 2, 48661

Step-4: Factors of 97342

List of positive integer factors of 97342 that divides 97322 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 97322 and 97342. The biggest common factor number is the GCF number.
So the greatest common factor 97322 and 97342 is 2.

Also check out the Least Common Multiple of 97322 and 97342