What is the Greatest Common Factor of 97358 and 97364?

Greatest common factor (GCF) of 97358 and 97364 is 2.

GCF(97358,97364) = 2

We will now calculate the prime factors of 97358 and 97364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97358 and 97364.

How to find the GCF of 97358 and 97364?

We will first find the prime factorization of 97358 and 97364. After we will calculate the factors of 97358 and 97364 and find the biggest common factor number .

Step-1: Prime Factorization of 97358

Prime factors of 97358 are 2, 48679. Prime factorization of 97358 in exponential form is:

97358 = 2¹ × 48679¹

Step-2: Prime Factorization of 97364

Prime factors of 97364 are 2, 101, 241. Prime factorization of 97364 in exponential form is:

97364 = 2² × 101¹ × 241¹

Step-3: Factors of 97358

List of positive integer factors of 97358 that divides 97358 without a remainder.

1, 2, 48679

Step-4: Factors of 97364

List of positive integer factors of 97364 that divides 97358 without a remainder.

1, 2, 4, 101, 202, 241, 404, 482, 964, 24341, 48682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97358 and 97364. The biggest common factor number is the GCF number.
So the greatest common factor 97358 and 97364 is 2.

Also check out the Least Common Multiple of 97358 and 97364