What is the Greatest Common Factor of 97322 and 97338?

Greatest common factor (GCF) of 97322 and 97338 is 2.

GCF(97322,97338) = 2

We will now calculate the prime factors of 97322 and 97338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97322 and 97338.

How to find the GCF of 97322 and 97338?

We will first find the prime factorization of 97322 and 97338. After we will calculate the factors of 97322 and 97338 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 97338

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

97338 = 2¹ × 3¹ × 16223¹

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 97338

List of positive integer factors of 97338 that divides 97322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97322 and 97338. The biggest common factor number is the GCF number.
So the greatest common factor 97322 and 97338 is 2.

Also check out the Least Common Multiple of 97322 and 97338