What is the Greatest Common Factor of 97364 and 97378?

Greatest common factor (GCF) of 97364 and 97378 is 2.

GCF(97364,97378) = 2

We will now calculate the prime factors of 97364 and 97378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97364 and 97378.

How to find the GCF of 97364 and 97378?

We will first find the prime factorization of 97364 and 97378. After we will calculate the factors of 97364 and 97378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97378

Prime factors of 97378 are 2, 181, 269. Prime factorization of 97378 in exponential form is:

97378 = 2¹ × 181¹ × 269¹

Step-3: Factors of 97364

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

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

Step-4: Factors of 97378

List of positive integer factors of 97378 that divides 97364 without a remainder.

1, 2, 181, 269, 362, 538, 48689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97364 and 97378. The biggest common factor number is the GCF number.
So the greatest common factor 97364 and 97378 is 2.

Also check out the Least Common Multiple of 97364 and 97378